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Finding the Fourth Proportional to 604.64, 908.16 and 586.24

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Solution

The fourth proportional to 604.64, 908.16 and 586.24 is: 880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 908.16 = 586.24 : x
  2. Step 2: Convert to fraction form
    604.64/908.16 = 586.24/x
  3. Step 3: Cross multiply
    604.64x = 908.16 × 586.24
  4. Step 4: Simplify right side
    604.64x = 532,399.72
  5. Step 5: Solve for x
    x = 532,399.72/604.64
  6. Step 6: Final answer
    x = 880.52

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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.