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Finding the Fourth Proportional to 359.60, 493.66 and 310.40

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Solution

The fourth proportional to 359.60, 493.66 and 310.40 is: 426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.60 : 493.66 = 310.40 : x
  2. Step 2: Convert to fraction form
    359.60/493.66 = 310.40/x
  3. Step 3: Cross multiply
    359.60x = 493.66 × 310.40
  4. Step 4: Simplify right side
    359.60x = 153,232.06
  5. Step 5: Solve for x
    x = 153,232.06/359.60
  6. Step 6: Final answer
    x = 426.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.