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Finding the Fourth Proportional to 359.95, 496.56 and 313.25

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Solution

The fourth proportional to 359.95, 496.56 and 313.25 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.95 : 496.56 = 313.25 : x
  2. Step 2: Convert to fraction form
    359.95/496.56 = 313.25/x
  3. Step 3: Cross multiply
    359.95x = 496.56 × 313.25
  4. Step 4: Simplify right side
    359.95x = 155,548.49
  5. Step 5: Solve for x
    x = 155,548.49/359.95
  6. Step 6: Final answer
    x = 432.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.