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Finding the Fourth Proportional to 501.74, 692.53 and 305.39

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Solution

The fourth proportional to 501.74, 692.53 and 305.39 is: 421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 692.53 = 305.39 : x
  2. Step 2: Convert to fraction form
    501.74/692.53 = 305.39/x
  3. Step 3: Cross multiply
    501.74x = 692.53 × 305.39
  4. Step 4: Simplify right side
    501.74x = 211,491.74
  5. Step 5: Solve for x
    x = 211,491.74/501.74
  6. Step 6: Final answer
    x = 421.52

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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.