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Finding the Fourth Proportional to 560.23, 840.50 and 498.95

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Solution

The fourth proportional to 560.23, 840.50 and 498.95 is: 748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 840.50 = 498.95 : x
  2. Step 2: Convert to fraction form
    560.23/840.50 = 498.95/x
  3. Step 3: Cross multiply
    560.23x = 840.50 × 498.95
  4. Step 4: Simplify right side
    560.23x = 419,368.78
  5. Step 5: Solve for x
    x = 419,368.78/560.23
  6. Step 6: Final answer
    x = 748.56

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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.