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Finding the Fourth Proportional to 602.96, 904.68 and 278.48

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Solution

The fourth proportional to 602.96, 904.68 and 278.48 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 904.68 = 278.48 : x
  2. Step 2: Convert to fraction form
    602.96/904.68 = 278.48/x
  3. Step 3: Cross multiply
    602.96x = 904.68 × 278.48
  4. Step 4: Simplify right side
    602.96x = 251,935.29
  5. Step 5: Solve for x
    x = 251,935.29/602.96
  6. Step 6: Final answer
    x = 417.83

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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.