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Finding the Fourth Proportional to 895.32, 1,342.49 and 278.86

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Solution

The fourth proportional to 895.32, 1,342.49 and 278.86 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.32 : 1,342.49 = 278.86 : x
  2. Step 2: Convert to fraction form
    895.32/1,342.49 = 278.86/x
  3. Step 3: Cross multiply
    895.32x = 1,342.49 × 278.86
  4. Step 4: Simplify right side
    895.32x = 374,362.01
  5. Step 5: Solve for x
    x = 374,362.01/895.32
  6. Step 6: Final answer
    x = 418.13

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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.