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Finding the Fourth Proportional to 314.46, 469.08 and 292.19

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Solution

The fourth proportional to 314.46, 469.08 and 292.19 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 469.08 = 292.19 : x
  2. Step 2: Convert to fraction form
    314.46/469.08 = 292.19/x
  3. Step 3: Cross multiply
    314.46x = 469.08 × 292.19
  4. Step 4: Simplify right side
    314.46x = 137,058.14
  5. Step 5: Solve for x
    x = 137,058.14/314.46
  6. Step 6: Final answer
    x = 435.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.