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Finding the Fourth Proportional to 432.65, 646.29 and 389.24

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Solution

The fourth proportional to 432.65, 646.29 and 389.24 is: 581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 646.29 = 389.24 : x
  2. Step 2: Convert to fraction form
    432.65/646.29 = 389.24/x
  3. Step 3: Cross multiply
    432.65x = 646.29 × 389.24
  4. Step 4: Simplify right side
    432.65x = 251,559.97
  5. Step 5: Solve for x
    x = 251,559.97/432.65
  6. Step 6: Final answer
    x = 581.45

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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.