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Finding the Fourth Proportional to 460, 688.45 and 383.11

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Solution

The fourth proportional to 460, 688.45 and 383.11 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 688.45 = 383.11 : x
  2. Step 2: Convert to fraction form
    460/688.45 = 383.11/x
  3. Step 3: Cross multiply
    460x = 688.45 × 383.11
  4. Step 4: Simplify right side
    460x = 263,752.08
  5. Step 5: Solve for x
    x = 263,752.08/460
  6. Step 6: Final answer
    x = 573.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.