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Finding the Fourth Proportional to 608.24, 906.59 and 572.74

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Solution

The fourth proportional to 608.24, 906.59 and 572.74 is: 853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.24 : 906.59 = 572.74 : x
  2. Step 2: Convert to fraction form
    608.24/906.59 = 572.74/x
  3. Step 3: Cross multiply
    608.24x = 906.59 × 572.74
  4. Step 4: Simplify right side
    608.24x = 519,239.52
  5. Step 5: Solve for x
    x = 519,239.52/608.24
  6. Step 6: Final answer
    x = 853.67

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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.