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Finding the Fourth Proportional to 364.68, 545.40 and 352.80

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Solution

The fourth proportional to 364.68, 545.40 and 352.80 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 545.40 = 352.80 : x
  2. Step 2: Convert to fraction form
    364.68/545.40 = 352.80/x
  3. Step 3: Cross multiply
    364.68x = 545.40 × 352.80
  4. Step 4: Simplify right side
    364.68x = 192,417.12
  5. Step 5: Solve for x
    x = 192,417.12/364.68
  6. Step 6: Final answer
    x = 527.63

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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.