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Finding the Fourth Proportional to 648.16, 972.72 and 263.68

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Solution

The fourth proportional to 648.16, 972.72 and 263.68 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 972.72 = 263.68 : x
  2. Step 2: Convert to fraction form
    648.16/972.72 = 263.68/x
  3. Step 3: Cross multiply
    648.16x = 972.72 × 263.68
  4. Step 4: Simplify right side
    648.16x = 256,486.81
  5. Step 5: Solve for x
    x = 256,486.81/648.16
  6. Step 6: Final answer
    x = 395.72

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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.