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Finding the Fourth Proportional to 478.08, 715.24 and 362.86

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Solution

The fourth proportional to 478.08, 715.24 and 362.86 is: 542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 715.24 = 362.86 : x
  2. Step 2: Convert to fraction form
    478.08/715.24 = 362.86/x
  3. Step 3: Cross multiply
    478.08x = 715.24 × 362.86
  4. Step 4: Simplify right side
    478.08x = 259,529.29
  5. Step 5: Solve for x
    x = 259,529.29/478.08
  6. Step 6: Final answer
    x = 542.86

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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.