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Finding the Fourth Proportional to 460.49, 689.85 and 357.26

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Solution

The fourth proportional to 460.49, 689.85 and 357.26 is: 535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 689.85 = 357.26 : x
  2. Step 2: Convert to fraction form
    460.49/689.85 = 357.26/x
  3. Step 3: Cross multiply
    460.49x = 689.85 × 357.26
  4. Step 4: Simplify right side
    460.49x = 246,455.81
  5. Step 5: Solve for x
    x = 246,455.81/460.49
  6. Step 6: Final answer
    x = 535.21

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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.