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Finding the Fourth Proportional to 432.25, 647.83 and 340.59

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Solution

The fourth proportional to 432.25, 647.83 and 340.59 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 647.83 = 340.59 : x
  2. Step 2: Convert to fraction form
    432.25/647.83 = 340.59/x
  3. Step 3: Cross multiply
    432.25x = 647.83 × 340.59
  4. Step 4: Simplify right side
    432.25x = 220,641.18
  5. Step 5: Solve for x
    x = 220,641.18/432.25
  6. Step 6: Final answer
    x = 510.45

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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.