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Finding the Fourth Proportional to 983.53, 1,475.54 and 290.17

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Solution

The fourth proportional to 983.53, 1,475.54 and 290.17 is: 435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.53 : 1,475.54 = 290.17 : x
  2. Step 2: Convert to fraction form
    983.53/1,475.54 = 290.17/x
  3. Step 3: Cross multiply
    983.53x = 1,475.54 × 290.17
  4. Step 4: Simplify right side
    983.53x = 428,148.61
  5. Step 5: Solve for x
    x = 428,148.61/983.53
  6. Step 6: Final answer
    x = 435.32

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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.