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Finding the Fourth Proportional to 501.98, 692.70 and 277.91

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Solution

The fourth proportional to 501.98, 692.70 and 277.91 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 692.70 = 277.91 : x
  2. Step 2: Convert to fraction form
    501.98/692.70 = 277.91/x
  3. Step 3: Cross multiply
    501.98x = 692.70 × 277.91
  4. Step 4: Simplify right side
    501.98x = 192,511.81
  5. Step 5: Solve for x
    x = 192,511.81/501.98
  6. Step 6: Final answer
    x = 383.50

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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.