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Finding the Fourth Proportional to 501.55, 692.21 and 302.39

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Solution

The fourth proportional to 501.55, 692.21 and 302.39 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.55 : 692.21 = 302.39 : x
  2. Step 2: Convert to fraction form
    501.55/692.21 = 302.39/x
  3. Step 3: Cross multiply
    501.55x = 692.21 × 302.39
  4. Step 4: Simplify right side
    501.55x = 209,312.41
  5. Step 5: Solve for x
    x = 209,312.41/501.55
  6. Step 6: Final answer
    x = 417.33

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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.