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Finding the Fourth Proportional to 501.53, 692.12 and 302.38

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Solution

The fourth proportional to 501.53, 692.12 and 302.38 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 692.12 = 302.38 : x
  2. Step 2: Convert to fraction form
    501.53/692.12 = 302.38/x
  3. Step 3: Cross multiply
    501.53x = 692.12 × 302.38
  4. Step 4: Simplify right side
    501.53x = 209,280.32
  5. Step 5: Solve for x
    x = 209,280.32/501.53
  6. Step 6: Final answer
    x = 417.28

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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.