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Finding the Fourth Proportional to 584.68, 877.28 and 537.16

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Solution

The fourth proportional to 584.68, 877.28 and 537.16 is: 805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 877.28 = 537.16 : x
  2. Step 2: Convert to fraction form
    584.68/877.28 = 537.16/x
  3. Step 3: Cross multiply
    584.68x = 877.28 × 537.16
  4. Step 4: Simplify right side
    584.68x = 471,239.72
  5. Step 5: Solve for x
    x = 471,239.72/584.68
  6. Step 6: Final answer
    x = 805.98

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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.