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Finding the Fourth Proportional to 536.49, 738.63 and 467.46

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Solution

The fourth proportional to 536.49, 738.63 and 467.46 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.49 : 738.63 = 467.46 : x
  2. Step 2: Convert to fraction form
    536.49/738.63 = 467.46/x
  3. Step 3: Cross multiply
    536.49x = 738.63 × 467.46
  4. Step 4: Simplify right side
    536.49x = 345,279.98
  5. Step 5: Solve for x
    x = 345,279.98/536.49
  6. Step 6: Final answer
    x = 643.59

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1.5x scale

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.