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Finding the Fourth Proportional to 977.42, 1,465.95 and 392.39

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Solution

The fourth proportional to 977.42, 1,465.95 and 392.39 is: 588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.42 : 1,465.95 = 392.39 : x
  2. Step 2: Convert to fraction form
    977.42/1,465.95 = 392.39/x
  3. Step 3: Cross multiply
    977.42x = 1,465.95 × 392.39
  4. Step 4: Simplify right side
    977.42x = 575,229.80
  5. Step 5: Solve for x
    x = 575,229.80/977.42
  6. Step 6: Final answer
    x = 588.52

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