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Finding the Fourth Proportional to 977.52, 1,466.16 and 400.32

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Solution

The fourth proportional to 977.52, 1,466.16 and 400.32 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,466.16 = 400.32 : x
  2. Step 2: Convert to fraction form
    977.52/1,466.16 = 400.32/x
  3. Step 3: Cross multiply
    977.52x = 1,466.16 × 400.32
  4. Step 4: Simplify right side
    977.52x = 586,933.17
  5. Step 5: Solve for x
    x = 586,933.17/977.52
  6. Step 6: Final answer
    x = 600.43

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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.