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Finding the Fourth Proportional to 462.60, 693.03 and 370.23

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Solution

The fourth proportional to 462.60, 693.03 and 370.23 is: 554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.60 : 693.03 = 370.23 : x
  2. Step 2: Convert to fraction form
    462.60/693.03 = 370.23/x
  3. Step 3: Cross multiply
    462.60x = 693.03 × 370.23
  4. Step 4: Simplify right side
    462.60x = 256,580.50
  5. Step 5: Solve for x
    x = 256,580.50/462.60
  6. Step 6: Final answer
    x = 554.65

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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.