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Finding the Fourth Proportional to 476.74, 715.11 and 152.11

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Solution

The fourth proportional to 476.74, 715.11 and 152.11 is: 228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.74 : 715.11 = 152.11 : x
  2. Step 2: Convert to fraction form
    476.74/715.11 = 152.11/x
  3. Step 3: Cross multiply
    476.74x = 715.11 × 152.11
  4. Step 4: Simplify right side
    476.74x = 108,773.59
  5. Step 5: Solve for x
    x = 108,773.59/476.74
  6. Step 6: Final answer
    x = 228.16

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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.