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Finding the Fourth Proportional to 585.05, 805.73 and 572.29

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Solution

The fourth proportional to 585.05, 805.73 and 572.29 is: 788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 805.73 = 572.29 : x
  2. Step 2: Convert to fraction form
    585.05/805.73 = 572.29/x
  3. Step 3: Cross multiply
    585.05x = 805.73 × 572.29
  4. Step 4: Simplify right side
    585.05x = 461,111.81
  5. Step 5: Solve for x
    x = 461,111.81/585.05
  6. Step 6: Final answer
    x = 788.16

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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.