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Finding the Fourth Proportional to 523.60, 785.40 and 498.40

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Solution

The fourth proportional to 523.60, 785.40 and 498.40 is: 747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 785.40 = 498.40 : x
  2. Step 2: Convert to fraction form
    523.60/785.40 = 498.40/x
  3. Step 3: Cross multiply
    523.60x = 785.40 × 498.40
  4. Step 4: Simplify right side
    523.60x = 391,443.36
  5. Step 5: Solve for x
    x = 391,443.36/523.60
  6. Step 6: Final answer
    x = 747.60

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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.