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Finding the Fourth Proportional to 460.04, 689.50 and 352.28

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Solution

The fourth proportional to 460.04, 689.50 and 352.28 is: 527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 689.50 = 352.28 : x
  2. Step 2: Convert to fraction form
    460.04/689.50 = 352.28/x
  3. Step 3: Cross multiply
    460.04x = 689.50 × 352.28
  4. Step 4: Simplify right side
    460.04x = 242,897.06
  5. Step 5: Solve for x
    x = 242,897.06/460.04
  6. Step 6: Final answer
    x = 527.99

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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.