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Finding the Fourth Proportional to 559.94, 771.82 and 384.98

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Solution

The fourth proportional to 559.94, 771.82 and 384.98 is: 530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.94 : 771.82 = 384.98 : x
  2. Step 2: Convert to fraction form
    559.94/771.82 = 384.98/x
  3. Step 3: Cross multiply
    559.94x = 771.82 × 384.98
  4. Step 4: Simplify right side
    559.94x = 297,135.26
  5. Step 5: Solve for x
    x = 297,135.26/559.94
  6. Step 6: Final answer
    x = 530.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.