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Finding the Fourth Proportional to 526.69, 726.69 and 340.19

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Solution

The fourth proportional to 526.69, 726.69 and 340.19 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.69 : 726.69 = 340.19 : x
  2. Step 2: Convert to fraction form
    526.69/726.69 = 340.19/x
  3. Step 3: Cross multiply
    526.69x = 726.69 × 340.19
  4. Step 4: Simplify right side
    526.69x = 247,211.12
  5. Step 5: Solve for x
    x = 247,211.12/526.69
  6. Step 6: Final answer
    x = 469.37

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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.