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Finding the Fourth Proportional to 407.98, 612.18 and 292.46

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Solution

The fourth proportional to 407.98, 612.18 and 292.46 is: 438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.98 : 612.18 = 292.46 : x
  2. Step 2: Convert to fraction form
    407.98/612.18 = 292.46/x
  3. Step 3: Cross multiply
    407.98x = 612.18 × 292.46
  4. Step 4: Simplify right side
    407.98x = 179,038.16
  5. Step 5: Solve for x
    x = 179,038.16/407.98
  6. Step 6: Final answer
    x = 438.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.