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Finding the Fourth Proportional to 407.22, 562.95 and 341.70

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Solution

The fourth proportional to 407.22, 562.95 and 341.70 is: 472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 562.95 = 341.70 : x
  2. Step 2: Convert to fraction form
    407.22/562.95 = 341.70/x
  3. Step 3: Cross multiply
    407.22x = 562.95 × 341.70
  4. Step 4: Simplify right side
    407.22x = 192,360.02
  5. Step 5: Solve for x
    x = 192,360.02/407.22
  6. Step 6: Final answer
    x = 472.37

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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.