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Finding the Fourth Proportional to 365.85, 546.45 and 356.13

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Solution

The fourth proportional to 365.85, 546.45 and 356.13 is: 531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.85 : 546.45 = 356.13 : x
  2. Step 2: Convert to fraction form
    365.85/546.45 = 356.13/x
  3. Step 3: Cross multiply
    365.85x = 546.45 × 356.13
  4. Step 4: Simplify right side
    365.85x = 194,607.24
  5. Step 5: Solve for x
    x = 194,607.24/365.85
  6. Step 6: Final answer
    x = 531.93

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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.