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Finding the Fourth Proportional to 359.96, 537.02 and 355.36

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Solution

The fourth proportional to 359.96, 537.02 and 355.36 is: 530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 537.02 = 355.36 : x
  2. Step 2: Convert to fraction form
    359.96/537.02 = 355.36/x
  3. Step 3: Cross multiply
    359.96x = 537.02 × 355.36
  4. Step 4: Simplify right side
    359.96x = 190,835.43
  5. Step 5: Solve for x
    x = 190,835.43/359.96
  6. Step 6: Final answer
    x = 530.16

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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.