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Finding the Fourth Proportional to 604.86, 902.35 and 588.12

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Solution

The fourth proportional to 604.86, 902.35 and 588.12 is: 877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 902.35 = 588.12 : x
  2. Step 2: Convert to fraction form
    604.86/902.35 = 588.12/x
  3. Step 3: Cross multiply
    604.86x = 902.35 × 588.12
  4. Step 4: Simplify right side
    604.86x = 530,690.08
  5. Step 5: Solve for x
    x = 530,690.08/604.86
  6. Step 6: Final answer
    x = 877.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.