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Finding the Fourth Proportional to 460.64, 692.40 and 290.72

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Solution

The fourth proportional to 460.64, 692.40 and 290.72 is: 436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 692.40 = 290.72 : x
  2. Step 2: Convert to fraction form
    460.64/692.40 = 290.72/x
  3. Step 3: Cross multiply
    460.64x = 692.40 × 290.72
  4. Step 4: Simplify right side
    460.64x = 201,294.53
  5. Step 5: Solve for x
    x = 201,294.53/460.64
  6. Step 6: Final answer
    x = 436.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.