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Finding the Fourth Proportional to 583.54, 804.82 and 362.36

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Solution

The fourth proportional to 583.54, 804.82 and 362.36 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 804.82 = 362.36 : x
  2. Step 2: Convert to fraction form
    583.54/804.82 = 362.36/x
  3. Step 3: Cross multiply
    583.54x = 804.82 × 362.36
  4. Step 4: Simplify right side
    583.54x = 291,634.58
  5. Step 5: Solve for x
    x = 291,634.58/583.54
  6. Step 6: Final answer
    x = 499.77

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Double scale
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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.