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Finding the Fourth Proportional to 462.94, 693.14 and 376.07

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Solution

The fourth proportional to 462.94, 693.14 and 376.07 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 693.14 = 376.07 : x
  2. Step 2: Convert to fraction form
    462.94/693.14 = 376.07/x
  3. Step 3: Cross multiply
    462.94x = 693.14 × 376.07
  4. Step 4: Simplify right side
    462.94x = 260,663.81
  5. Step 5: Solve for x
    x = 260,663.81/462.94
  6. Step 6: Final answer
    x = 563.06

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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.