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Finding the Fourth Proportional to 472.16, 651.35 and 314.86

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Solution

The fourth proportional to 472.16, 651.35 and 314.86 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 651.35 = 314.86 : x
  2. Step 2: Convert to fraction form
    472.16/651.35 = 314.86/x
  3. Step 3: Cross multiply
    472.16x = 651.35 × 314.86
  4. Step 4: Simplify right side
    472.16x = 205,084.06
  5. Step 5: Solve for x
    x = 205,084.06/472.16
  6. Step 6: Final answer
    x = 434.36

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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.