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Finding the Fourth Proportional to 566.16, 781.31 and 317.49

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Solution

The fourth proportional to 566.16, 781.31 and 317.49 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 781.31 = 317.49 : x
  2. Step 2: Convert to fraction form
    566.16/781.31 = 317.49/x
  3. Step 3: Cross multiply
    566.16x = 781.31 × 317.49
  4. Step 4: Simplify right side
    566.16x = 248,055.98
  5. Step 5: Solve for x
    x = 248,055.98/566.16
  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.