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Finding the Fourth Proportional to 365.58, 545.70 and 341.28

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Solution

The fourth proportional to 365.58, 545.70 and 341.28 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.58 : 545.70 = 341.28 : x
  2. Step 2: Convert to fraction form
    365.58/545.70 = 341.28/x
  3. Step 3: Cross multiply
    365.58x = 545.70 × 341.28
  4. Step 4: Simplify right side
    365.58x = 186,236.50
  5. Step 5: Solve for x
    x = 186,236.50/365.58
  6. Step 6: Final answer
    x = 509.43

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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.