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Finding the Fourth Proportional to 585.19, 807.65 and 364.38

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Solution

The fourth proportional to 585.19, 807.65 and 364.38 is: 502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.19 : 807.65 = 364.38 : x
  2. Step 2: Convert to fraction form
    585.19/807.65 = 364.38/x
  3. Step 3: Cross multiply
    585.19x = 807.65 × 364.38
  4. Step 4: Simplify right side
    585.19x = 294,291.51
  5. Step 5: Solve for x
    x = 294,291.51/585.19
  6. Step 6: Final answer
    x = 502.90

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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.