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Finding the Fourth Proportional to 426.58, 640.10 and 210.16

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Solution

The fourth proportional to 426.58, 640.10 and 210.16 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.58 : 640.10 = 210.16 : x
  2. Step 2: Convert to fraction form
    426.58/640.10 = 210.16/x
  3. Step 3: Cross multiply
    426.58x = 640.10 × 210.16
  4. Step 4: Simplify right side
    426.58x = 134,523.42
  5. Step 5: Solve for x
    x = 134,523.42/426.58
  6. Step 6: Final answer
    x = 315.35

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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.