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Finding the Fourth Proportional to 977.53, 1,465.98 and 328.11

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Solution

The fourth proportional to 977.53, 1,465.98 and 328.11 is: 492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.53 : 1,465.98 = 328.11 : x
  2. Step 2: Convert to fraction form
    977.53/1,465.98 = 328.11/x
  3. Step 3: Cross multiply
    977.53x = 1,465.98 × 328.11
  4. Step 4: Simplify right side
    977.53x = 481,002.70
  5. Step 5: Solve for x
    x = 481,002.70/977.53
  6. Step 6: Final answer
    x = 492.06

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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.