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Finding the Fourth Proportional to 477.32, 716.05 and 152.61

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Solution

The fourth proportional to 477.32, 716.05 and 152.61 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 716.05 = 152.61 : x
  2. Step 2: Convert to fraction form
    477.32/716.05 = 152.61/x
  3. Step 3: Cross multiply
    477.32x = 716.05 × 152.61
  4. Step 4: Simplify right side
    477.32x = 109,276.39
  5. Step 5: Solve for x
    x = 109,276.39/477.32
  6. Step 6: Final answer
    x = 228.94

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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.