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Finding the Fourth Proportional to 584.86, 877.24 and 152.02

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Solution

The fourth proportional to 584.86, 877.24 and 152.02 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.86 : 877.24 = 152.02 : x
  2. Step 2: Convert to fraction form
    584.86/877.24 = 152.02/x
  3. Step 3: Cross multiply
    584.86x = 877.24 × 152.02
  4. Step 4: Simplify right side
    584.86x = 133,358.02
  5. Step 5: Solve for x
    x = 133,358.02/584.86
  6. Step 6: Final answer
    x = 228.02

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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.