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Finding the Fourth Proportional to 648.56, 895.11 and 412.70

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Solution

The fourth proportional to 648.56, 895.11 and 412.70 is: 569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 895.11 = 412.70 : x
  2. Step 2: Convert to fraction form
    648.56/895.11 = 412.70/x
  3. Step 3: Cross multiply
    648.56x = 895.11 × 412.70
  4. Step 4: Simplify right side
    648.56x = 369,411.90
  5. Step 5: Solve for x
    x = 369,411.90/648.56
  6. Step 6: Final answer
    x = 569.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.