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Finding the Fourth Proportional to 501.65, 751.29 and 346.83

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Solution

The fourth proportional to 501.65, 751.29 and 346.83 is: 519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.65 : 751.29 = 346.83 : x
  2. Step 2: Convert to fraction form
    501.65/751.29 = 346.83/x
  3. Step 3: Cross multiply
    501.65x = 751.29 × 346.83
  4. Step 4: Simplify right side
    501.65x = 260,569.91
  5. Step 5: Solve for x
    x = 260,569.91/501.65
  6. Step 6: Final answer
    x = 519.43

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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.