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Finding the Fourth Proportional to 602.70, 904.49 and 294.72

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Solution

The fourth proportional to 602.70, 904.49 and 294.72 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.70 : 904.49 = 294.72 : x
  2. Step 2: Convert to fraction form
    602.70/904.49 = 294.72/x
  3. Step 3: Cross multiply
    602.70x = 904.49 × 294.72
  4. Step 4: Simplify right side
    602.70x = 266,571.29
  5. Step 5: Solve for x
    x = 266,571.29/602.70
  6. Step 6: Final answer
    x = 442.30

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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.