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Finding the Fourth Proportional to 526.37, 790.56 and 364.37

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Solution

The fourth proportional to 526.37, 790.56 and 364.37 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.37 : 790.56 = 364.37 : x
  2. Step 2: Convert to fraction form
    526.37/790.56 = 364.37/x
  3. Step 3: Cross multiply
    526.37x = 790.56 × 364.37
  4. Step 4: Simplify right side
    526.37x = 288,052.39
  5. Step 5: Solve for x
    x = 288,052.39/526.37
  6. Step 6: Final answer
    x = 547.25

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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.