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Finding the Fourth Proportional to 492.18, 735.01 and 465.52

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Solution

The fourth proportional to 492.18, 735.01 and 465.52 is: 695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.18 : 735.01 = 465.52 : x
  2. Step 2: Convert to fraction form
    492.18/735.01 = 465.52/x
  3. Step 3: Cross multiply
    492.18x = 735.01 × 465.52
  4. Step 4: Simplify right side
    492.18x = 342,161.86
  5. Step 5: Solve for x
    x = 342,161.86/492.18
  6. Step 6: Final answer
    x = 695.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.