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Finding the Fourth Proportional to 500.60, 745.61 and 497.90

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Solution

The fourth proportional to 500.60, 745.61 and 497.90 is: 741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.60 : 745.61 = 497.90 : x
  2. Step 2: Convert to fraction form
    500.60/745.61 = 497.90/x
  3. Step 3: Cross multiply
    500.60x = 745.61 × 497.90
  4. Step 4: Simplify right side
    500.60x = 371,233.00
  5. Step 5: Solve for x
    x = 371,233.00/500.60
  6. Step 6: Final answer
    x = 741.58

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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.