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Finding the Fourth Proportional to 426.96, 590.36 and 407.25

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Solution

The fourth proportional to 426.96, 590.36 and 407.25 is: 563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 590.36 = 407.25 : x
  2. Step 2: Convert to fraction form
    426.96/590.36 = 407.25/x
  3. Step 3: Cross multiply
    426.96x = 590.36 × 407.25
  4. Step 4: Simplify right side
    426.96x = 240,424.11
  5. Step 5: Solve for x
    x = 240,424.11/426.96
  6. Step 6: Final answer
    x = 563.11

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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.