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Finding the Fourth Proportional to 462.86, 695.49 and 348.04

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Solution

The fourth proportional to 462.86, 695.49 and 348.04 is: 522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 695.49 = 348.04 : x
  2. Step 2: Convert to fraction form
    462.86/695.49 = 348.04/x
  3. Step 3: Cross multiply
    462.86x = 695.49 × 348.04
  4. Step 4: Simplify right side
    462.86x = 242,057.90
  5. Step 5: Solve for x
    x = 242,057.90/462.86
  6. Step 6: Final answer
    x = 522.96

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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.