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Finding the Fourth Proportional to 460.24, 634.08 and 429.46

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Solution

The fourth proportional to 460.24, 634.08 and 429.46 is: 591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.24 : 634.08 = 429.46 : x
  2. Step 2: Convert to fraction form
    460.24/634.08 = 429.46/x
  3. Step 3: Cross multiply
    460.24x = 634.08 × 429.46
  4. Step 4: Simplify right side
    460.24x = 272,312.00
  5. Step 5: Solve for x
    x = 272,312.00/460.24
  6. Step 6: Final answer
    x = 591.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.