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Finding the Fourth Proportional to 548.24, 823.40 and 526.08

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Solution

The fourth proportional to 548.24, 823.40 and 526.08 is: 790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 823.40 = 526.08 : x
  2. Step 2: Convert to fraction form
    548.24/823.40 = 526.08/x
  3. Step 3: Cross multiply
    548.24x = 823.40 × 526.08
  4. Step 4: Simplify right side
    548.24x = 433,174.27
  5. Step 5: Solve for x
    x = 433,174.27/548.24
  6. Step 6: Final answer
    x = 790.12

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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.