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Finding the Fourth Proportional to 584.80, 877.24 and 152

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Solution

The fourth proportional to 584.80, 877.24 and 152 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 877.24 = 152 : x
  2. Step 2: Convert to fraction form
    584.80/877.24 = 152/x
  3. Step 3: Cross multiply
    584.80x = 877.24 × 152
  4. Step 4: Simplify right side
    584.80x = 133,340.48
  5. Step 5: Solve for x
    x = 133,340.48/584.80
  6. Step 6: Final answer
    x = 228.01

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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.