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Finding the Fourth Proportional to 566.52, 782.29 and 357.07

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Solution

The fourth proportional to 566.52, 782.29 and 357.07 is: 493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.52 : 782.29 = 357.07 : x
  2. Step 2: Convert to fraction form
    566.52/782.29 = 357.07/x
  3. Step 3: Cross multiply
    566.52x = 782.29 × 357.07
  4. Step 4: Simplify right side
    566.52x = 279,328.38
  5. Step 5: Solve for x
    x = 279,328.38/566.52
  6. Step 6: Final answer
    x = 493.06

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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.