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Finding the Fourth Proportional to 526.74, 788.03 and 352.59

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Solution

The fourth proportional to 526.74, 788.03 and 352.59 is: 527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.74 : 788.03 = 352.59 : x
  2. Step 2: Convert to fraction form
    526.74/788.03 = 352.59/x
  3. Step 3: Cross multiply
    526.74x = 788.03 × 352.59
  4. Step 4: Simplify right side
    526.74x = 277,848.10
  5. Step 5: Solve for x
    x = 277,848.10/526.74
  6. Step 6: Final answer
    x = 527.49

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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.