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Finding the Fourth Proportional to 566.75, 782.10 and 318.07

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Solution

The fourth proportional to 566.75, 782.10 and 318.07 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 782.10 = 318.07 : x
  2. Step 2: Convert to fraction form
    566.75/782.10 = 318.07/x
  3. Step 3: Cross multiply
    566.75x = 782.10 × 318.07
  4. Step 4: Simplify right side
    566.75x = 248,763.52
  5. Step 5: Solve for x
    x = 248,763.52/566.75
  6. Step 6: Final answer
    x = 438.93

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Find fourth proportional to 283.38, 391.05 and 159.04
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.