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Finding the Fourth Proportional to 566.64, 781.85 and 317.96

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Solution

The fourth proportional to 566.64, 781.85 and 317.96 is: 438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.64 : 781.85 = 317.96 : x
  2. Step 2: Convert to fraction form
    566.64/781.85 = 317.96/x
  3. Step 3: Cross multiply
    566.64x = 781.85 × 317.96
  4. Step 4: Simplify right side
    566.64x = 248,597.03
  5. Step 5: Solve for x
    x = 248,597.03/566.64
  6. Step 6: Final answer
    x = 438.72

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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.