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Finding the Fourth Proportional to 501.18, 745.47 and 459.87

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Solution

The fourth proportional to 501.18, 745.47 and 459.87 is: 684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.18 : 745.47 = 459.87 : x
  2. Step 2: Convert to fraction form
    501.18/745.47 = 459.87/x
  3. Step 3: Cross multiply
    501.18x = 745.47 × 459.87
  4. Step 4: Simplify right side
    501.18x = 342,819.29
  5. Step 5: Solve for x
    x = 342,819.29/501.18
  6. Step 6: Final answer
    x = 684.02

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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.