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Finding the Fourth Proportional to 597.35, 894.12 and 574.67

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Solution

The fourth proportional to 597.35, 894.12 and 574.67 is: 860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 894.12 = 574.67 : x
  2. Step 2: Convert to fraction form
    597.35/894.12 = 574.67/x
  3. Step 3: Cross multiply
    597.35x = 894.12 × 574.67
  4. Step 4: Simplify right side
    597.35x = 513,819.47
  5. Step 5: Solve for x
    x = 513,819.47/597.35
  6. Step 6: Final answer
    x = 860.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.