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Finding the Fourth Proportional to 524.46, 785.79 and 370.11

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Solution

The fourth proportional to 524.46, 785.79 and 370.11 is: 554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.46 : 785.79 = 370.11 : x
  2. Step 2: Convert to fraction form
    524.46/785.79 = 370.11/x
  3. Step 3: Cross multiply
    524.46x = 785.79 × 370.11
  4. Step 4: Simplify right side
    524.46x = 290,828.74
  5. Step 5: Solve for x
    x = 290,828.74/524.46
  6. Step 6: Final answer
    x = 554.53

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Why These Related Problems?

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