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Finding the Fourth Proportional to 648.76, 895.70 and 400.31

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Solution

The fourth proportional to 648.76, 895.70 and 400.31 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 895.70 = 400.31 : x
  2. Step 2: Convert to fraction form
    648.76/895.70 = 400.31/x
  3. Step 3: Cross multiply
    648.76x = 895.70 × 400.31
  4. Step 4: Simplify right side
    648.76x = 358,557.67
  5. Step 5: Solve for x
    x = 358,557.67/648.76
  6. Step 6: Final answer
    x = 552.68

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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.