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Finding the Fourth Proportional to 977.33, 1,465.99 and 400.20

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Solution

The fourth proportional to 977.33, 1,465.99 and 400.20 is: 600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.33 : 1,465.99 = 400.20 : x
  2. Step 2: Convert to fraction form
    977.33/1,465.99 = 400.20/x
  3. Step 3: Cross multiply
    977.33x = 1,465.99 × 400.20
  4. Step 4: Simplify right side
    977.33x = 586,688.20
  5. Step 5: Solve for x
    x = 586,688.20/977.33
  6. Step 6: Final answer
    x = 600.30

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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.