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Finding the Fourth Proportional to 689.04, 950.76 and 413.04

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Solution

The fourth proportional to 689.04, 950.76 and 413.04 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 950.76 = 413.04 : x
  2. Step 2: Convert to fraction form
    689.04/950.76 = 413.04/x
  3. Step 3: Cross multiply
    689.04x = 950.76 × 413.04
  4. Step 4: Simplify right side
    689.04x = 392,701.91
  5. Step 5: Solve for x
    x = 392,701.91/689.04
  6. Step 6: Final answer
    x = 569.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.