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Finding the Fourth Proportional to 691.29, 954 and 470.34

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Solution

The fourth proportional to 691.29, 954 and 470.34 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.29 : 954 = 470.34 : x
  2. Step 2: Convert to fraction form
    691.29/954 = 470.34/x
  3. Step 3: Cross multiply
    691.29x = 954 × 470.34
  4. Step 4: Simplify right side
    691.29x = 448,704.36
  5. Step 5: Solve for x
    x = 448,704.36/691.29
  6. Step 6: Final answer
    x = 649.08

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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.