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Finding the Fourth Proportional to 526.42, 788.94 and 282.42

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Solution

The fourth proportional to 526.42, 788.94 and 282.42 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.42 : 788.94 = 282.42 : x
  2. Step 2: Convert to fraction form
    526.42/788.94 = 282.42/x
  3. Step 3: Cross multiply
    526.42x = 788.94 × 282.42
  4. Step 4: Simplify right side
    526.42x = 222,812.43
  5. Step 5: Solve for x
    x = 222,812.43/526.42
  6. Step 6: Final answer
    x = 423.26

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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.