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Finding the Fourth Proportional to 566.35, 781.50 and 317.64

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Solution

The fourth proportional to 566.35, 781.50 and 317.64 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.35 : 781.50 = 317.64 : x
  2. Step 2: Convert to fraction form
    566.35/781.50 = 317.64/x
  3. Step 3: Cross multiply
    566.35x = 781.50 × 317.64
  4. Step 4: Simplify right side
    566.35x = 248,235.66
  5. Step 5: Solve for x
    x = 248,235.66/566.35
  6. Step 6: Final answer
    x = 438.31

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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.