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Finding the Fourth Proportional to 581.25, 802.53 and 406.83

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Solution

The fourth proportional to 581.25, 802.53 and 406.83 is: 561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 802.53 = 406.83 : x
  2. Step 2: Convert to fraction form
    581.25/802.53 = 406.83/x
  3. Step 3: Cross multiply
    581.25x = 802.53 × 406.83
  4. Step 4: Simplify right side
    581.25x = 326,493.28
  5. Step 5: Solve for x
    x = 326,493.28/581.25
  6. Step 6: Final answer
    x = 561.71

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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.