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Finding the Fourth Proportional to 460.74, 689.85 and 352.02

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Solution

The fourth proportional to 460.74, 689.85 and 352.02 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.74 : 689.85 = 352.02 : x
  2. Step 2: Convert to fraction form
    460.74/689.85 = 352.02/x
  3. Step 3: Cross multiply
    460.74x = 689.85 × 352.02
  4. Step 4: Simplify right side
    460.74x = 242,841.00
  5. Step 5: Solve for x
    x = 242,841.00/460.74
  6. Step 6: Final answer
    x = 527.07

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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.