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Finding the Fourth Proportional to 562.74, 776.52 and 326.59

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Solution

The fourth proportional to 562.74, 776.52 and 326.59 is: 450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.74 : 776.52 = 326.59 : x
  2. Step 2: Convert to fraction form
    562.74/776.52 = 326.59/x
  3. Step 3: Cross multiply
    562.74x = 776.52 × 326.59
  4. Step 4: Simplify right side
    562.74x = 253,603.67
  5. Step 5: Solve for x
    x = 253,603.67/562.74
  6. Step 6: Final answer
    x = 450.66

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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.