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Finding the Fourth Proportional to 495.35, 742.80 and 287.13

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Solution

The fourth proportional to 495.35, 742.80 and 287.13 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 742.80 = 287.13 : x
  2. Step 2: Convert to fraction form
    495.35/742.80 = 287.13/x
  3. Step 3: Cross multiply
    495.35x = 742.80 × 287.13
  4. Step 4: Simplify right side
    495.35x = 213,280.16
  5. Step 5: Solve for x
    x = 213,280.16/495.35
  6. Step 6: Final answer
    x = 430.56

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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.