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Finding the Fourth Proportional to 581.67, 802.67 and 332.97

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Solution

The fourth proportional to 581.67, 802.67 and 332.97 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.67 : 802.67 = 332.97 : x
  2. Step 2: Convert to fraction form
    581.67/802.67 = 332.97/x
  3. Step 3: Cross multiply
    581.67x = 802.67 × 332.97
  4. Step 4: Simplify right side
    581.67x = 267,263.37
  5. Step 5: Solve for x
    x = 267,263.37/581.67
  6. Step 6: Final answer
    x = 459.48

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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.