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Finding the Fourth Proportional to 546.28, 818.34 and 526.24

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Solution

The fourth proportional to 546.28, 818.34 and 526.24 is: 788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.28 : 818.34 = 526.24 : x
  2. Step 2: Convert to fraction form
    546.28/818.34 = 526.24/x
  3. Step 3: Cross multiply
    546.28x = 818.34 × 526.24
  4. Step 4: Simplify right side
    546.28x = 430,643.24
  5. Step 5: Solve for x
    x = 430,643.24/546.28
  6. Step 6: Final answer
    x = 788.32

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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.