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Finding the Fourth Proportional to 602.18, 903.87 and 342.48

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Solution

The fourth proportional to 602.18, 903.87 and 342.48 is: 514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.18 : 903.87 = 342.48 : x
  2. Step 2: Convert to fraction form
    602.18/903.87 = 342.48/x
  3. Step 3: Cross multiply
    602.18x = 903.87 × 342.48
  4. Step 4: Simplify right side
    602.18x = 309,557.40
  5. Step 5: Solve for x
    x = 309,557.40/602.18
  6. Step 6: Final answer
    x = 514.06

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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.