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Finding the Fourth Proportional to 510.79, 705.53 and 370.69

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Solution

The fourth proportional to 510.79, 705.53 and 370.69 is: 512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.79 : 705.53 = 370.69 : x
  2. Step 2: Convert to fraction form
    510.79/705.53 = 370.69/x
  3. Step 3: Cross multiply
    510.79x = 705.53 × 370.69
  4. Step 4: Simplify right side
    510.79x = 261,532.92
  5. Step 5: Solve for x
    x = 261,532.92/510.79
  6. Step 6: Final answer
    x = 512.02

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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.