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Finding the Fourth Proportional to 642.10, 958.77 and 510.62

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Solution

The fourth proportional to 642.10, 958.77 and 510.62 is: 762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 958.77 = 510.62 : x
  2. Step 2: Convert to fraction form
    642.10/958.77 = 510.62/x
  3. Step 3: Cross multiply
    642.10x = 958.77 × 510.62
  4. Step 4: Simplify right side
    642.10x = 489,567.14
  5. Step 5: Solve for x
    x = 489,567.14/642.10
  6. Step 6: Final answer
    x = 762.45

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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.