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Finding the Fourth Proportional to 584.10, 875.69 and 400.95

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Solution

The fourth proportional to 584.10, 875.69 and 400.95 is: 601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 875.69 = 400.95 : x
  2. Step 2: Convert to fraction form
    584.10/875.69 = 400.95/x
  3. Step 3: Cross multiply
    584.10x = 875.69 × 400.95
  4. Step 4: Simplify right side
    584.10x = 351,105.90
  5. Step 5: Solve for x
    x = 351,105.90/584.10
  6. Step 6: Final answer
    x = 601.11

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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.