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Finding the Fourth Proportional to 510.67, 703.17 and 440.61

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Solution

The fourth proportional to 510.67, 703.17 and 440.61 is: 606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.67 : 703.17 = 440.61 : x
  2. Step 2: Convert to fraction form
    510.67/703.17 = 440.61/x
  3. Step 3: Cross multiply
    510.67x = 703.17 × 440.61
  4. Step 4: Simplify right side
    510.67x = 309,820.22
  5. Step 5: Solve for x
    x = 309,820.22/510.67
  6. Step 6: Final answer
    x = 606.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.