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Finding the Fourth Proportional to 358.50, 538.46 and 313.32

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Solution

The fourth proportional to 358.50, 538.46 and 313.32 is: 470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.50 : 538.46 = 313.32 : x
  2. Step 2: Convert to fraction form
    358.50/538.46 = 313.32/x
  3. Step 3: Cross multiply
    358.50x = 538.46 × 313.32
  4. Step 4: Simplify right side
    358.50x = 168,708.38
  5. Step 5: Solve for x
    x = 168,708.38/358.50
  6. Step 6: Final answer
    x = 470.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.