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Finding the Fourth Proportional to 477, 715.37 and 152.27

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Solution

The fourth proportional to 477, 715.37 and 152.27 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 715.37 = 152.27 : x
  2. Step 2: Convert to fraction form
    477/715.37 = 152.27/x
  3. Step 3: Cross multiply
    477x = 715.37 × 152.27
  4. Step 4: Simplify right side
    477x = 108,925.05
  5. Step 5: Solve for x
    x = 108,925.05/477
  6. Step 6: Final answer
    x = 228.35

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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.