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Finding the Fourth Proportional to 509.86, 765.05 and 347.22

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Solution

The fourth proportional to 509.86, 765.05 and 347.22 is: 521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 765.05 = 347.22 : x
  2. Step 2: Convert to fraction form
    509.86/765.05 = 347.22/x
  3. Step 3: Cross multiply
    509.86x = 765.05 × 347.22
  4. Step 4: Simplify right side
    509.86x = 265,638.92
  5. Step 5: Solve for x
    x = 265,638.92/509.86
  6. Step 6: Final answer
    x = 521.00

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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.