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Finding the Fourth Proportional to 584.60, 877.01 and 482.32

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Solution

The fourth proportional to 584.60, 877.01 and 482.32 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 877.01 = 482.32 : x
  2. Step 2: Convert to fraction form
    584.60/877.01 = 482.32/x
  3. Step 3: Cross multiply
    584.60x = 877.01 × 482.32
  4. Step 4: Simplify right side
    584.60x = 423,000.86
  5. Step 5: Solve for x
    x = 423,000.86/584.60
  6. Step 6: Final answer
    x = 723.57

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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.