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Finding the Fourth Proportional to 600.08, 900.10 and 586.40

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Solution

The fourth proportional to 600.08, 900.10 and 586.40 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 900.10 = 586.40 : x
  2. Step 2: Convert to fraction form
    600.08/900.10 = 586.40/x
  3. Step 3: Cross multiply
    600.08x = 900.10 × 586.40
  4. Step 4: Simplify right side
    600.08x = 527,818.64
  5. Step 5: Solve for x
    x = 527,818.64/600.08
  6. Step 6: Final answer
    x = 879.58

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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.