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Finding the Fourth Proportional to 356.75, 535.13 and 305.50

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Solution

The fourth proportional to 356.75, 535.13 and 305.50 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.75 : 535.13 = 305.50 : x
  2. Step 2: Convert to fraction form
    356.75/535.13 = 305.50/x
  3. Step 3: Cross multiply
    356.75x = 535.13 × 305.50
  4. Step 4: Simplify right side
    356.75x = 163,480.85
  5. Step 5: Solve for x
    x = 163,480.85/356.75
  6. Step 6: Final answer
    x = 458.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.