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Finding the Fourth Proportional to 501.65, 692.16 and 305.16

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Solution

The fourth proportional to 501.65, 692.16 and 305.16 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.65 : 692.16 = 305.16 : x
  2. Step 2: Convert to fraction form
    501.65/692.16 = 305.16/x
  3. Step 3: Cross multiply
    501.65x = 692.16 × 305.16
  4. Step 4: Simplify right side
    501.65x = 211,219.55
  5. Step 5: Solve for x
    x = 211,219.55/501.65
  6. Step 6: Final answer
    x = 421.05

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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.