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Finding the Fourth Proportional to 584.93, 807.34 and 364.05

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Solution

The fourth proportional to 584.93, 807.34 and 364.05 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.93 : 807.34 = 364.05 : x
  2. Step 2: Convert to fraction form
    584.93/807.34 = 364.05/x
  3. Step 3: Cross multiply
    584.93x = 807.34 × 364.05
  4. Step 4: Simplify right side
    584.93x = 293,912.13
  5. Step 5: Solve for x
    x = 293,912.13/584.93
  6. Step 6: Final answer
    x = 502.47

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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.