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Finding the Fourth Proportional to 529.72, 794.58 and 183.06

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Solution

The fourth proportional to 529.72, 794.58 and 183.06 is: 274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 794.58 = 183.06 : x
  2. Step 2: Convert to fraction form
    529.72/794.58 = 183.06/x
  3. Step 3: Cross multiply
    529.72x = 794.58 × 183.06
  4. Step 4: Simplify right side
    529.72x = 145,455.81
  5. Step 5: Solve for x
    x = 145,455.81/529.72
  6. Step 6: Final answer
    x = 274.59

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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.