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Finding the Fourth Proportional to 964.16, 1,445.29 and 378.80

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Solution

The fourth proportional to 964.16, 1,445.29 and 378.80 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,445.29 = 378.80 : x
  2. Step 2: Convert to fraction form
    964.16/1,445.29 = 378.80/x
  3. Step 3: Cross multiply
    964.16x = 1,445.29 × 378.80
  4. Step 4: Simplify right side
    964.16x = 547,468.63
  5. Step 5: Solve for x
    x = 547,468.63/964.16
  6. Step 6: Final answer
    x = 567.82

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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.