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Finding the Fourth Proportional to 868.59, 1,303.20 and 430.02

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Solution

The fourth proportional to 868.59, 1,303.20 and 430.02 is: 645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.59 : 1,303.20 = 430.02 : x
  2. Step 2: Convert to fraction form
    868.59/1,303.20 = 430.02/x
  3. Step 3: Cross multiply
    868.59x = 1,303.20 × 430.02
  4. Step 4: Simplify right side
    868.59x = 560,402.06
  5. Step 5: Solve for x
    x = 560,402.06/868.59
  6. Step 6: Final answer
    x = 645.19

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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.