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Finding the Fourth Proportional to 359.88, 537.46 and 356.10

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Solution

The fourth proportional to 359.88, 537.46 and 356.10 is: 531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.88 : 537.46 = 356.10 : x
  2. Step 2: Convert to fraction form
    359.88/537.46 = 356.10/x
  3. Step 3: Cross multiply
    359.88x = 537.46 × 356.10
  4. Step 4: Simplify right side
    359.88x = 191,389.51
  5. Step 5: Solve for x
    x = 191,389.51/359.88
  6. Step 6: Final answer
    x = 531.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.