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Finding the Fourth Proportional to 581.66, 802.80 and 345.60

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Solution

The fourth proportional to 581.66, 802.80 and 345.60 is: 476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.66 : 802.80 = 345.60 : x
  2. Step 2: Convert to fraction form
    581.66/802.80 = 345.60/x
  3. Step 3: Cross multiply
    581.66x = 802.80 × 345.60
  4. Step 4: Simplify right side
    581.66x = 277,447.68
  5. Step 5: Solve for x
    x = 277,447.68/581.66
  6. Step 6: Final answer
    x = 476.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.