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Finding the Fourth Proportional to 584.06, 876.11 and 354.42

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Solution

The fourth proportional to 584.06, 876.11 and 354.42 is: 531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 876.11 = 354.42 : x
  2. Step 2: Convert to fraction form
    584.06/876.11 = 354.42/x
  3. Step 3: Cross multiply
    584.06x = 876.11 × 354.42
  4. Step 4: Simplify right side
    584.06x = 310,509.13
  5. Step 5: Solve for x
    x = 310,509.13/584.06
  6. Step 6: Final answer
    x = 531.64

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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.