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Finding the Fourth Proportional to 456.79, 685.34 and 303.32

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Solution

The fourth proportional to 456.79, 685.34 and 303.32 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.79 : 685.34 = 303.32 : x
  2. Step 2: Convert to fraction form
    456.79/685.34 = 303.32/x
  3. Step 3: Cross multiply
    456.79x = 685.34 × 303.32
  4. Step 4: Simplify right side
    456.79x = 207,875.88
  5. Step 5: Solve for x
    x = 207,875.88/456.79
  6. Step 6: Final answer
    x = 455.08

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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.