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Finding the Fourth Proportional to 497.28, 740.76 and 469.92

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Solution

The fourth proportional to 497.28, 740.76 and 469.92 is: 700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 740.76 = 469.92 : x
  2. Step 2: Convert to fraction form
    497.28/740.76 = 469.92/x
  3. Step 3: Cross multiply
    497.28x = 740.76 × 469.92
  4. Step 4: Simplify right side
    497.28x = 348,097.94
  5. Step 5: Solve for x
    x = 348,097.94/497.28
  6. Step 6: Final answer
    x = 700.00

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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.