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Finding the Fourth Proportional to 356.60, 533.02 and 305.60

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Solution

The fourth proportional to 356.60, 533.02 and 305.60 is: 456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.60 : 533.02 = 305.60 : x
  2. Step 2: Convert to fraction form
    356.60/533.02 = 305.60/x
  3. Step 3: Cross multiply
    356.60x = 533.02 × 305.60
  4. Step 4: Simplify right side
    356.60x = 162,890.91
  5. Step 5: Solve for x
    x = 162,890.91/356.60
  6. Step 6: Final answer
    x = 456.79

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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.