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Finding the Fourth Proportional to 566.67, 781.74 and 370.11

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Solution

The fourth proportional to 566.67, 781.74 and 370.11 is: 510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.67 : 781.74 = 370.11 : x
  2. Step 2: Convert to fraction form
    566.67/781.74 = 370.11/x
  3. Step 3: Cross multiply
    566.67x = 781.74 × 370.11
  4. Step 4: Simplify right side
    566.67x = 289,329.79
  5. Step 5: Solve for x
    x = 289,329.79/566.67
  6. Step 6: Final answer
    x = 510.58

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Why These Related Problems?

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