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Finding the Fourth Proportional to 525.06, 785.70 and 422.46

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Solution

The fourth proportional to 525.06, 785.70 and 422.46 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 785.70 = 422.46 : x
  2. Step 2: Convert to fraction form
    525.06/785.70 = 422.46/x
  3. Step 3: Cross multiply
    525.06x = 785.70 × 422.46
  4. Step 4: Simplify right side
    525.06x = 331,926.82
  5. Step 5: Solve for x
    x = 331,926.82/525.06
  6. Step 6: Final answer
    x = 632.17

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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.