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Finding the Fourth Proportional to 463.76, 695.60 and 317.76

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Solution

The fourth proportional to 463.76, 695.60 and 317.76 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 695.60 = 317.76 : x
  2. Step 2: Convert to fraction form
    463.76/695.60 = 317.76/x
  3. Step 3: Cross multiply
    463.76x = 695.60 × 317.76
  4. Step 4: Simplify right side
    463.76x = 221,033.86
  5. Step 5: Solve for x
    x = 221,033.86/463.76
  6. Step 6: Final answer
    x = 476.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.