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Finding the Fourth Proportional to 501.68, 692.20 and 436.08

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Solution

The fourth proportional to 501.68, 692.20 and 436.08 is: 601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.68 : 692.20 = 436.08 : x
  2. Step 2: Convert to fraction form
    501.68/692.20 = 436.08/x
  3. Step 3: Cross multiply
    501.68x = 692.20 × 436.08
  4. Step 4: Simplify right side
    501.68x = 301,854.58
  5. Step 5: Solve for x
    x = 301,854.58/501.68
  6. Step 6: Final answer
    x = 601.69

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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.