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Finding the Fourth Proportional to 560.40, 837.12 and 430.32

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Solution

The fourth proportional to 560.40, 837.12 and 430.32 is: 642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 837.12 = 430.32 : x
  2. Step 2: Convert to fraction form
    560.40/837.12 = 430.32/x
  3. Step 3: Cross multiply
    560.40x = 837.12 × 430.32
  4. Step 4: Simplify right side
    560.40x = 360,229.48
  5. Step 5: Solve for x
    x = 360,229.48/560.40
  6. Step 6: Final answer
    x = 642.81

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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.