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Finding the Fourth Proportional to 602.98, 903.59 and 294.48

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Solution

The fourth proportional to 602.98, 903.59 and 294.48 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.98 : 903.59 = 294.48 : x
  2. Step 2: Convert to fraction form
    602.98/903.59 = 294.48/x
  3. Step 3: Cross multiply
    602.98x = 903.59 × 294.48
  4. Step 4: Simplify right side
    602.98x = 266,089.18
  5. Step 5: Solve for x
    x = 266,089.18/602.98
  6. Step 6: Final answer
    x = 441.29

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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.