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Finding the Fourth Proportional to 529.14, 792.45 and 312.06

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Solution

The fourth proportional to 529.14, 792.45 and 312.06 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 792.45 = 312.06 : x
  2. Step 2: Convert to fraction form
    529.14/792.45 = 312.06/x
  3. Step 3: Cross multiply
    529.14x = 792.45 × 312.06
  4. Step 4: Simplify right side
    529.14x = 247,291.95
  5. Step 5: Solve for x
    x = 247,291.95/529.14
  6. Step 6: Final answer
    x = 467.35

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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.