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Finding the Fourth Proportional to 669.71, 924.18 and 389.96

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Solution

The fourth proportional to 669.71, 924.18 and 389.96 is: 538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.71 : 924.18 = 389.96 : x
  2. Step 2: Convert to fraction form
    669.71/924.18 = 389.96/x
  3. Step 3: Cross multiply
    669.71x = 924.18 × 389.96
  4. Step 4: Simplify right side
    669.71x = 360,393.23
  5. Step 5: Solve for x
    x = 360,393.23/669.71
  6. Step 6: Final answer
    x = 538.13

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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.