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Finding the Fourth Proportional to 358.59, 539.43 and 312.46

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Solution

The fourth proportional to 358.59, 539.43 and 312.46 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 539.43 = 312.46 : x
  2. Step 2: Convert to fraction form
    358.59/539.43 = 312.46/x
  3. Step 3: Cross multiply
    358.59x = 539.43 × 312.46
  4. Step 4: Simplify right side
    358.59x = 168,547.78
  5. Step 5: Solve for x
    x = 168,547.78/358.59
  6. Step 6: Final answer
    x = 470.02

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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.