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Finding the Fourth Proportional to 526.01, 788.99 and 233.32

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Solution

The fourth proportional to 526.01, 788.99 and 233.32 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.01 : 788.99 = 233.32 : x
  2. Step 2: Convert to fraction form
    526.01/788.99 = 233.32/x
  3. Step 3: Cross multiply
    526.01x = 788.99 × 233.32
  4. Step 4: Simplify right side
    526.01x = 184,087.15
  5. Step 5: Solve for x
    x = 184,087.15/526.01
  6. Step 6: Final answer
    x = 349.97

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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.