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Finding the Fourth Proportional to 584.92, 876.90 and 401.77

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Solution

The fourth proportional to 584.92, 876.90 and 401.77 is: 602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 876.90 = 401.77 : x
  2. Step 2: Convert to fraction form
    584.92/876.90 = 401.77/x
  3. Step 3: Cross multiply
    584.92x = 876.90 × 401.77
  4. Step 4: Simplify right side
    584.92x = 352,312.11
  5. Step 5: Solve for x
    x = 352,312.11/584.92
  6. Step 6: Final answer
    x = 602.33

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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.