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Finding the Fourth Proportional to 534.41, 736 and 460.70

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Solution

The fourth proportional to 534.41, 736 and 460.70 is: 634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.41 : 736 = 460.70 : x
  2. Step 2: Convert to fraction form
    534.41/736 = 460.70/x
  3. Step 3: Cross multiply
    534.41x = 736 × 460.70
  4. Step 4: Simplify right side
    534.41x = 339,075.20
  5. Step 5: Solve for x
    x = 339,075.20/534.41
  6. Step 6: Final answer
    x = 634.49

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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.