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Finding the Fourth Proportional to 585.29, 806.29 and 501.00

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Solution

The fourth proportional to 585.29, 806.29 and 501.00 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 806.29 = 501.00 : x
  2. Step 2: Convert to fraction form
    585.29/806.29 = 501.00/x
  3. Step 3: Cross multiply
    585.29x = 806.29 × 501.00
  4. Step 4: Simplify right side
    585.29x = 403,946.01
  5. Step 5: Solve for x
    x = 403,946.01/585.29
  6. Step 6: Final answer
    x = 690.16

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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.