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Finding the Fourth Proportional to 365.49, 545.97 and 328.86

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Solution

The fourth proportional to 365.49, 545.97 and 328.86 is: 491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 545.97 = 328.86 : x
  2. Step 2: Convert to fraction form
    365.49/545.97 = 328.86/x
  3. Step 3: Cross multiply
    365.49x = 545.97 × 328.86
  4. Step 4: Simplify right side
    365.49x = 179,547.69
  5. Step 5: Solve for x
    x = 179,547.69/365.49
  6. Step 6: Final answer
    x = 491.25

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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.