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Finding the Fourth Proportional to 585.57, 805.55 and 506.29

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Solution

The fourth proportional to 585.57, 805.55 and 506.29 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.57 : 805.55 = 506.29 : x
  2. Step 2: Convert to fraction form
    585.57/805.55 = 506.29/x
  3. Step 3: Cross multiply
    585.57x = 805.55 × 506.29
  4. Step 4: Simplify right side
    585.57x = 407,841.91
  5. Step 5: Solve for x
    x = 407,841.91/585.57
  6. Step 6: Final answer
    x = 696.49

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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.