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Finding the Fourth Proportional to 359.64, 535.68 and 357.48

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Solution

The fourth proportional to 359.64, 535.68 and 357.48 is: 532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 535.68 = 357.48 : x
  2. Step 2: Convert to fraction form
    359.64/535.68 = 357.48/x
  3. Step 3: Cross multiply
    359.64x = 535.68 × 357.48
  4. Step 4: Simplify right side
    359.64x = 191,494.89
  5. Step 5: Solve for x
    x = 191,494.89/359.64
  6. Step 6: Final answer
    x = 532.46

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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.