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Finding the Fourth Proportional to 477.13, 715.50 and 152.41

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Solution

The fourth proportional to 477.13, 715.50 and 152.41 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.13 : 715.50 = 152.41 : x
  2. Step 2: Convert to fraction form
    477.13/715.50 = 152.41/x
  3. Step 3: Cross multiply
    477.13x = 715.50 × 152.41
  4. Step 4: Simplify right side
    477.13x = 109,049.36
  5. Step 5: Solve for x
    x = 109,049.36/477.13
  6. Step 6: Final answer
    x = 228.55

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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.