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Finding the Fourth Proportional to 460.24, 689.88 and 436.24

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Solution

The fourth proportional to 460.24, 689.88 and 436.24 is: 653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.24 : 689.88 = 436.24 : x
  2. Step 2: Convert to fraction form
    460.24/689.88 = 436.24/x
  3. Step 3: Cross multiply
    460.24x = 689.88 × 436.24
  4. Step 4: Simplify right side
    460.24x = 300,953.25
  5. Step 5: Solve for x
    x = 300,953.25/460.24
  6. Step 6: Final answer
    x = 653.91

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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.