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Finding the Fourth Proportional to 555.80, 834.24 and 465.08

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Solution

The fourth proportional to 555.80, 834.24 and 465.08 is: 698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.80 : 834.24 = 465.08 : x
  2. Step 2: Convert to fraction form
    555.80/834.24 = 465.08/x
  3. Step 3: Cross multiply
    555.80x = 834.24 × 465.08
  4. Step 4: Simplify right side
    555.80x = 387,988.34
  5. Step 5: Solve for x
    x = 387,988.34/555.80
  6. Step 6: Final answer
    x = 698.07

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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.