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Finding the Fourth Proportional to 688.32, 950.40 and 604.08

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Solution

The fourth proportional to 688.32, 950.40 and 604.08 is: 834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 950.40 = 604.08 : x
  2. Step 2: Convert to fraction form
    688.32/950.40 = 604.08/x
  3. Step 3: Cross multiply
    688.32x = 950.40 × 604.08
  4. Step 4: Simplify right side
    688.32x = 574,117.63
  5. Step 5: Solve for x
    x = 574,117.63/688.32
  6. Step 6: Final answer
    x = 834.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.