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Finding the Fourth Proportional to 977.64, 1,465.82 and 400.36

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Solution

The fourth proportional to 977.64, 1,465.82 and 400.36 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.64 : 1,465.82 = 400.36 : x
  2. Step 2: Convert to fraction form
    977.64/1,465.82 = 400.36/x
  3. Step 3: Cross multiply
    977.64x = 1,465.82 × 400.36
  4. Step 4: Simplify right side
    977.64x = 586,855.70
  5. Step 5: Solve for x
    x = 586,855.70/977.64
  6. Step 6: Final answer
    x = 600.28

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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.