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Finding the Fourth Proportional to 585.41, 807.57 and 364.01

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Solution

The fourth proportional to 585.41, 807.57 and 364.01 is: 502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.41 : 807.57 = 364.01 : x
  2. Step 2: Convert to fraction form
    585.41/807.57 = 364.01/x
  3. Step 3: Cross multiply
    585.41x = 807.57 × 364.01
  4. Step 4: Simplify right side
    585.41x = 293,959.52
  5. Step 5: Solve for x
    x = 293,959.52/585.41
  6. Step 6: Final answer
    x = 502.15

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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.