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Finding the Fourth Proportional to 510.72, 766.16 and 446.08

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Solution

The fourth proportional to 510.72, 766.16 and 446.08 is: 669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 766.16 = 446.08 : x
  2. Step 2: Convert to fraction form
    510.72/766.16 = 446.08/x
  3. Step 3: Cross multiply
    510.72x = 766.16 × 446.08
  4. Step 4: Simplify right side
    510.72x = 341,768.65
  5. Step 5: Solve for x
    x = 341,768.65/510.72
  6. Step 6: Final answer
    x = 669.19

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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.