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Finding the Fourth Proportional to 460.53, 690.12 and 297.72

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Solution

The fourth proportional to 460.53, 690.12 and 297.72 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 690.12 = 297.72 : x
  2. Step 2: Convert to fraction form
    460.53/690.12 = 297.72/x
  3. Step 3: Cross multiply
    460.53x = 690.12 × 297.72
  4. Step 4: Simplify right side
    460.53x = 205,462.53
  5. Step 5: Solve for x
    x = 205,462.53/460.53
  6. Step 6: Final answer
    x = 446.14

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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.