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Finding the Fourth Proportional to 509.58, 765.05 and 235.76

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Solution

The fourth proportional to 509.58, 765.05 and 235.76 is: 353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.58 : 765.05 = 235.76 : x
  2. Step 2: Convert to fraction form
    509.58/765.05 = 235.76/x
  3. Step 3: Cross multiply
    509.58x = 765.05 × 235.76
  4. Step 4: Simplify right side
    509.58x = 180,363.18
  5. Step 5: Solve for x
    x = 180,363.18/509.58
  6. Step 6: Final answer
    x = 353.94

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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.