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Finding the Fourth Proportional to 895.06, 1,342.24 and 360.61

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Solution

The fourth proportional to 895.06, 1,342.24 and 360.61 is: 540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.06 : 1,342.24 = 360.61 : x
  2. Step 2: Convert to fraction form
    895.06/1,342.24 = 360.61/x
  3. Step 3: Cross multiply
    895.06x = 1,342.24 × 360.61
  4. Step 4: Simplify right side
    895.06x = 484,025.17
  5. Step 5: Solve for x
    x = 484,025.17/895.06
  6. Step 6: Final answer
    x = 540.77

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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.