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Finding the Fourth Proportional to 649.76, 972.54 and 341.19

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Solution

The fourth proportional to 649.76, 972.54 and 341.19 is: 510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 972.54 = 341.19 : x
  2. Step 2: Convert to fraction form
    649.76/972.54 = 341.19/x
  3. Step 3: Cross multiply
    649.76x = 972.54 × 341.19
  4. Step 4: Simplify right side
    649.76x = 331,820.92
  5. Step 5: Solve for x
    x = 331,820.92/649.76
  6. Step 6: Final answer
    x = 510.69

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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.