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Finding the Fourth Proportional to 445.08, 614.70 and 298.32

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Solution

The fourth proportional to 445.08, 614.70 and 298.32 is: 412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.08 : 614.70 = 298.32 : x
  2. Step 2: Convert to fraction form
    445.08/614.70 = 298.32/x
  3. Step 3: Cross multiply
    445.08x = 614.70 × 298.32
  4. Step 4: Simplify right side
    445.08x = 183,377.30
  5. Step 5: Solve for x
    x = 183,377.30/445.08
  6. Step 6: Final answer
    x = 412.01

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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.