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Finding the Fourth Proportional to 648.79, 972.97 and 340.58

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Solution

The fourth proportional to 648.79, 972.97 and 340.58 is: 510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.79 : 972.97 = 340.58 : x
  2. Step 2: Convert to fraction form
    648.79/972.97 = 340.58/x
  3. Step 3: Cross multiply
    648.79x = 972.97 × 340.58
  4. Step 4: Simplify right side
    648.79x = 331,374.12
  5. Step 5: Solve for x
    x = 331,374.12/648.79
  6. Step 6: Final answer
    x = 510.76

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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.