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Finding the Fourth Proportional to 364.79, 545.97 and 356.69

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Solution

The fourth proportional to 364.79, 545.97 and 356.69 is: 533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.79 : 545.97 = 356.69 : x
  2. Step 2: Convert to fraction form
    364.79/545.97 = 356.69/x
  3. Step 3: Cross multiply
    364.79x = 545.97 × 356.69
  4. Step 4: Simplify right side
    364.79x = 194,742.04
  5. Step 5: Solve for x
    x = 194,742.04/364.79
  6. Step 6: Final answer
    x = 533.85

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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.