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Finding the Fourth Proportional to 648.74, 895.23 and 354.01

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Solution

The fourth proportional to 648.74, 895.23 and 354.01 is: 488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 895.23 = 354.01 : x
  2. Step 2: Convert to fraction form
    648.74/895.23 = 354.01/x
  3. Step 3: Cross multiply
    648.74x = 895.23 × 354.01
  4. Step 4: Simplify right side
    648.74x = 316,920.37
  5. Step 5: Solve for x
    x = 316,920.37/648.74
  6. Step 6: Final answer
    x = 488.52

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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.