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Finding the Fourth Proportional to 407.30, 560.40 and 341.42

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Solution

The fourth proportional to 407.30, 560.40 and 341.42 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 560.40 = 341.42 : x
  2. Step 2: Convert to fraction form
    407.30/560.40 = 341.42/x
  3. Step 3: Cross multiply
    407.30x = 560.40 × 341.42
  4. Step 4: Simplify right side
    407.30x = 191,331.77
  5. Step 5: Solve for x
    x = 191,331.77/407.30
  6. Step 6: Final answer
    x = 469.76

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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.