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Finding the Fourth Proportional to 566.42, 781.64 and 317.74

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Solution

The fourth proportional to 566.42, 781.64 and 317.74 is: 438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 781.64 = 317.74 : x
  2. Step 2: Convert to fraction form
    566.42/781.64 = 317.74/x
  3. Step 3: Cross multiply
    566.42x = 781.64 × 317.74
  4. Step 4: Simplify right side
    566.42x = 248,358.29
  5. Step 5: Solve for x
    x = 248,358.29/566.42
  6. Step 6: Final answer
    x = 438.47

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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.