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Finding the Fourth Proportional to 602.88, 903.44 and 314.08

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Solution

The fourth proportional to 602.88, 903.44 and 314.08 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.88 : 903.44 = 314.08 : x
  2. Step 2: Convert to fraction form
    602.88/903.44 = 314.08/x
  3. Step 3: Cross multiply
    602.88x = 903.44 × 314.08
  4. Step 4: Simplify right side
    602.88x = 283,752.44
  5. Step 5: Solve for x
    x = 283,752.44/602.88
  6. Step 6: Final answer
    x = 470.66

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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.