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Finding the Fourth Proportional to 526.20, 788.28 and 309.12

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Solution

The fourth proportional to 526.20, 788.28 and 309.12 is: 463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 788.28 = 309.12 : x
  2. Step 2: Convert to fraction form
    526.20/788.28 = 309.12/x
  3. Step 3: Cross multiply
    526.20x = 788.28 × 309.12
  4. Step 4: Simplify right side
    526.20x = 243,673.11
  5. Step 5: Solve for x
    x = 243,673.11/526.20
  6. Step 6: Final answer
    x = 463.08

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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.