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Finding the Fourth Proportional to 584.99, 877.51 and 498.92

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Solution

The fourth proportional to 584.99, 877.51 and 498.92 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.99 : 877.51 = 498.92 : x
  2. Step 2: Convert to fraction form
    584.99/877.51 = 498.92/x
  3. Step 3: Cross multiply
    584.99x = 877.51 × 498.92
  4. Step 4: Simplify right side
    584.99x = 437,807.29
  5. Step 5: Solve for x
    x = 437,807.29/584.99
  6. Step 6: Final answer
    x = 748.41

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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.