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Finding the Fourth Proportional to 356.73, 535.35 and 265.16

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Solution

The fourth proportional to 356.73, 535.35 and 265.16 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.73 : 535.35 = 265.16 : x
  2. Step 2: Convert to fraction form
    356.73/535.35 = 265.16/x
  3. Step 3: Cross multiply
    356.73x = 535.35 × 265.16
  4. Step 4: Simplify right side
    356.73x = 141,950.73
  5. Step 5: Solve for x
    x = 141,950.73/356.73
  6. Step 6: Final answer
    x = 397.92

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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.