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Finding the Fourth Proportional to 562.34, 774.95 and 404.69

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Solution

The fourth proportional to 562.34, 774.95 and 404.69 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.34 : 774.95 = 404.69 : x
  2. Step 2: Convert to fraction form
    562.34/774.95 = 404.69/x
  3. Step 3: Cross multiply
    562.34x = 774.95 × 404.69
  4. Step 4: Simplify right side
    562.34x = 313,615.25
  5. Step 5: Solve for x
    x = 313,615.25/562.34
  6. Step 6: Final answer
    x = 557.70

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