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Finding the Fourth Proportional to 359.96, 535.93 and 355.64

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Solution

The fourth proportional to 359.96, 535.93 and 355.64 is: 529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 535.93 = 355.64 : x
  2. Step 2: Convert to fraction form
    359.96/535.93 = 355.64/x
  3. Step 3: Cross multiply
    359.96x = 535.93 × 355.64
  4. Step 4: Simplify right side
    359.96x = 190,598.15
  5. Step 5: Solve for x
    x = 190,598.15/359.96
  6. Step 6: Final answer
    x = 529.50

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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.