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Finding the Fourth Proportional to 585.42, 807.72 and 364.38

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Solution

The fourth proportional to 585.42, 807.72 and 364.38 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 807.72 = 364.38 : x
  2. Step 2: Convert to fraction form
    585.42/807.72 = 364.38/x
  3. Step 3: Cross multiply
    585.42x = 807.72 × 364.38
  4. Step 4: Simplify right side
    585.42x = 294,317.01
  5. Step 5: Solve for x
    x = 294,317.01/585.42
  6. Step 6: Final answer
    x = 502.75

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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.