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Finding the Fourth Proportional to 602.48, 904.13 and 277.85

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Solution

The fourth proportional to 602.48, 904.13 and 277.85 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.48 : 904.13 = 277.85 : x
  2. Step 2: Convert to fraction form
    602.48/904.13 = 277.85/x
  3. Step 3: Cross multiply
    602.48x = 904.13 × 277.85
  4. Step 4: Simplify right side
    602.48x = 251,206.61
  5. Step 5: Solve for x
    x = 251,206.61/602.48
  6. Step 6: Final answer
    x = 416.96

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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.