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Finding the Fourth Proportional to 526.46, 788.86 and 233.64

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Solution

The fourth proportional to 526.46, 788.86 and 233.64 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.46 : 788.86 = 233.64 : x
  2. Step 2: Convert to fraction form
    526.46/788.86 = 233.64/x
  3. Step 3: Cross multiply
    526.46x = 788.86 × 233.64
  4. Step 4: Simplify right side
    526.46x = 184,309.25
  5. Step 5: Solve for x
    x = 184,309.25/526.46
  6. Step 6: Final answer
    x = 350.09

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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.