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Finding the Fourth Proportional to 529.47, 793.76 and 309.56

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Solution

The fourth proportional to 529.47, 793.76 and 309.56 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.47 : 793.76 = 309.56 : x
  2. Step 2: Convert to fraction form
    529.47/793.76 = 309.56/x
  3. Step 3: Cross multiply
    529.47x = 793.76 × 309.56
  4. Step 4: Simplify right side
    529.47x = 245,714.40
  5. Step 5: Solve for x
    x = 245,714.40/529.47
  6. Step 6: Final answer
    x = 464.07

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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.