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Finding the Fourth Proportional to 524.23, 785.86 and 235.51

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Solution

The fourth proportional to 524.23, 785.86 and 235.51 is: 353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.23 : 785.86 = 235.51 : x
  2. Step 2: Convert to fraction form
    524.23/785.86 = 235.51/x
  3. Step 3: Cross multiply
    524.23x = 785.86 × 235.51
  4. Step 4: Simplify right side
    524.23x = 185,077.89
  5. Step 5: Solve for x
    x = 185,077.89/524.23
  6. Step 6: Final answer
    x = 353.05

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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.