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Finding the Fourth Proportional to 562.84, 776.52 and 352.91

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Solution

The fourth proportional to 562.84, 776.52 and 352.91 is: 486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 776.52 = 352.91 : x
  2. Step 2: Convert to fraction form
    562.84/776.52 = 352.91/x
  3. Step 3: Cross multiply
    562.84x = 776.52 × 352.91
  4. Step 4: Simplify right side
    562.84x = 274,043.61
  5. Step 5: Solve for x
    x = 274,043.61/562.84
  6. Step 6: Final answer
    x = 486.90

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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.