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Finding the Fourth Proportional to 977.32, 1,464.36 and 399.52

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Solution

The fourth proportional to 977.32, 1,464.36 and 399.52 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,464.36 = 399.52 : x
  2. Step 2: Convert to fraction form
    977.32/1,464.36 = 399.52/x
  3. Step 3: Cross multiply
    977.32x = 1,464.36 × 399.52
  4. Step 4: Simplify right side
    977.32x = 585,041.11
  5. Step 5: Solve for x
    x = 585,041.11/977.32
  6. Step 6: Final answer
    x = 598.62

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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.