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Finding the Fourth Proportional to 581.25, 802.14 and 345.09

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Solution

The fourth proportional to 581.25, 802.14 and 345.09 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 802.14 = 345.09 : x
  2. Step 2: Convert to fraction form
    581.25/802.14 = 345.09/x
  3. Step 3: Cross multiply
    581.25x = 802.14 × 345.09
  4. Step 4: Simplify right side
    581.25x = 276,810.49
  5. Step 5: Solve for x
    x = 276,810.49/581.25
  6. Step 6: Final answer
    x = 476.23

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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.