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Finding the Fourth Proportional to 365.28, 545.32 and 352.46

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Solution

The fourth proportional to 365.28, 545.32 and 352.46 is: 526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 545.32 = 352.46 : x
  2. Step 2: Convert to fraction form
    365.28/545.32 = 352.46/x
  3. Step 3: Cross multiply
    365.28x = 545.32 × 352.46
  4. Step 4: Simplify right side
    365.28x = 192,204.99
  5. Step 5: Solve for x
    x = 192,204.99/365.28
  6. Step 6: Final answer
    x = 526.19

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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.