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Finding the Fourth Proportional to 407.64, 612 and 339.60

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Solution

The fourth proportional to 407.64, 612 and 339.60 is: 509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 612 = 339.60 : x
  2. Step 2: Convert to fraction form
    407.64/612 = 339.60/x
  3. Step 3: Cross multiply
    407.64x = 612 × 339.60
  4. Step 4: Simplify right side
    407.64x = 207,835.20
  5. Step 5: Solve for x
    x = 207,835.20/407.64
  6. Step 6: Final answer
    x = 509.85

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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.