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Finding the Fourth Proportional to 529.88, 792.38 and 384.08

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Solution

The fourth proportional to 529.88, 792.38 and 384.08 is: 574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 792.38 = 384.08 : x
  2. Step 2: Convert to fraction form
    529.88/792.38 = 384.08/x
  3. Step 3: Cross multiply
    529.88x = 792.38 × 384.08
  4. Step 4: Simplify right side
    529.88x = 304,337.31
  5. Step 5: Solve for x
    x = 304,337.31/529.88
  6. Step 6: Final answer
    x = 574.35

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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.