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Finding the Fourth Proportional to 524.83, 786.90 and 294.06

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Solution

The fourth proportional to 524.83, 786.90 and 294.06 is: 440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.83 : 786.90 = 294.06 : x
  2. Step 2: Convert to fraction form
    524.83/786.90 = 294.06/x
  3. Step 3: Cross multiply
    524.83x = 786.90 × 294.06
  4. Step 4: Simplify right side
    524.83x = 231,395.81
  5. Step 5: Solve for x
    x = 231,395.81/524.83
  6. Step 6: Final answer
    x = 440.90

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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.