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Finding the Fourth Proportional to 501.90, 692.67 and 305.40

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Solution

The fourth proportional to 501.90, 692.67 and 305.40 is: 421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.90 : 692.67 = 305.40 : x
  2. Step 2: Convert to fraction form
    501.90/692.67 = 305.40/x
  3. Step 3: Cross multiply
    501.90x = 692.67 × 305.40
  4. Step 4: Simplify right side
    501.90x = 211,541.42
  5. Step 5: Solve for x
    x = 211,541.42/501.90
  6. Step 6: Final answer
    x = 421.48

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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.