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Finding the Fourth Proportional to 501.64, 692.48 and 305.22

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Solution

The fourth proportional to 501.64, 692.48 and 305.22 is: 421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 692.48 = 305.22 : x
  2. Step 2: Convert to fraction form
    501.64/692.48 = 305.22/x
  3. Step 3: Cross multiply
    501.64x = 692.48 × 305.22
  4. Step 4: Simplify right side
    501.64x = 211,358.75
  5. Step 5: Solve for x
    x = 211,358.75/501.64
  6. Step 6: Final answer
    x = 421.34

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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.