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Finding the Fourth Proportional to 602.64, 903.15 and 342.72

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Solution

The fourth proportional to 602.64, 903.15 and 342.72 is: 513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 903.15 = 342.72 : x
  2. Step 2: Convert to fraction form
    602.64/903.15 = 342.72/x
  3. Step 3: Cross multiply
    602.64x = 903.15 × 342.72
  4. Step 4: Simplify right side
    602.64x = 309,527.57
  5. Step 5: Solve for x
    x = 309,527.57/602.64
  6. Step 6: Final answer
    x = 513.62

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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.