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Finding the Fourth Proportional to 648.48, 973.12 and 375.12

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Solution

The fourth proportional to 648.48, 973.12 and 375.12 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 973.12 = 375.12 : x
  2. Step 2: Convert to fraction form
    648.48/973.12 = 375.12/x
  3. Step 3: Cross multiply
    648.48x = 973.12 × 375.12
  4. Step 4: Simplify right side
    648.48x = 365,036.77
  5. Step 5: Solve for x
    x = 365,036.77/648.48
  6. Step 6: Final answer
    x = 562.91

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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.