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Finding the Fourth Proportional to 526.06, 788.64 and 282.30

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Solution

The fourth proportional to 526.06, 788.64 and 282.30 is: 423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.06 : 788.64 = 282.30 : x
  2. Step 2: Convert to fraction form
    526.06/788.64 = 282.30/x
  3. Step 3: Cross multiply
    526.06x = 788.64 × 282.30
  4. Step 4: Simplify right side
    526.06x = 222,633.49
  5. Step 5: Solve for x
    x = 222,633.49/526.06
  6. Step 6: Final answer
    x = 423.21

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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.