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Finding the Fourth Proportional to 589.12, 880.01 and 502.04

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Solution

The fourth proportional to 589.12, 880.01 and 502.04 is: 749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 880.01 = 502.04 : x
  2. Step 2: Convert to fraction form
    589.12/880.01 = 502.04/x
  3. Step 3: Cross multiply
    589.12x = 880.01 × 502.04
  4. Step 4: Simplify right side
    589.12x = 441,800.22
  5. Step 5: Solve for x
    x = 441,800.22/589.12
  6. Step 6: Final answer
    x = 749.93

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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.