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Finding the Fourth Proportional to 566.25, 781.34 and 317.53

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Solution

The fourth proportional to 566.25, 781.34 and 317.53 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.25 : 781.34 = 317.53 : x
  2. Step 2: Convert to fraction form
    566.25/781.34 = 317.53/x
  3. Step 3: Cross multiply
    566.25x = 781.34 × 317.53
  4. Step 4: Simplify right side
    566.25x = 248,098.89
  5. Step 5: Solve for x
    x = 248,098.89/566.25
  6. Step 6: Final answer
    x = 438.14

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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.