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Finding the Fourth Proportional to 584.77, 877.16 and 151.93

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Solution

The fourth proportional to 584.77, 877.16 and 151.93 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.77 : 877.16 = 151.93 : x
  2. Step 2: Convert to fraction form
    584.77/877.16 = 151.93/x
  3. Step 3: Cross multiply
    584.77x = 877.16 × 151.93
  4. Step 4: Simplify right side
    584.77x = 133,261.77
  5. Step 5: Solve for x
    x = 133,261.77/584.77
  6. Step 6: Final answer
    x = 227.89

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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.