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Finding the Fourth Proportional to 432.12, 596.94 and 410.52

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Solution

The fourth proportional to 432.12, 596.94 and 410.52 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.12 : 596.94 = 410.52 : x
  2. Step 2: Convert to fraction form
    432.12/596.94 = 410.52/x
  3. Step 3: Cross multiply
    432.12x = 596.94 × 410.52
  4. Step 4: Simplify right side
    432.12x = 245,055.81
  5. Step 5: Solve for x
    x = 245,055.81/432.12
  6. Step 6: Final answer
    x = 567.10

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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.