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Finding the Fourth Proportional to 498.69, 744.50 and 430.17

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Solution

The fourth proportional to 498.69, 744.50 and 430.17 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 744.50 = 430.17 : x
  2. Step 2: Convert to fraction form
    498.69/744.50 = 430.17/x
  3. Step 3: Cross multiply
    498.69x = 744.50 × 430.17
  4. Step 4: Simplify right side
    498.69x = 320,261.57
  5. Step 5: Solve for x
    x = 320,261.57/498.69
  6. Step 6: Final answer
    x = 642.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.