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Finding the Fourth Proportional to 495.48, 746.99 and 469.02

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Solution

The fourth proportional to 495.48, 746.99 and 469.02 is: 707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.48 : 746.99 = 469.02 : x
  2. Step 2: Convert to fraction form
    495.48/746.99 = 469.02/x
  3. Step 3: Cross multiply
    495.48x = 746.99 × 469.02
  4. Step 4: Simplify right side
    495.48x = 350,350.90
  5. Step 5: Solve for x
    x = 350,350.90/495.48
  6. Step 6: Final answer
    x = 707.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.