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Finding the Fourth Proportional to 585.38, 808.37 and 430.94

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Solution

The fourth proportional to 585.38, 808.37 and 430.94 is: 595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 808.37 = 430.94 : x
  2. Step 2: Convert to fraction form
    585.38/808.37 = 430.94/x
  3. Step 3: Cross multiply
    585.38x = 808.37 × 430.94
  4. Step 4: Simplify right side
    585.38x = 348,352.77
  5. Step 5: Solve for x
    x = 348,352.77/585.38
  6. Step 6: Final answer
    x = 595.09

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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.