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Finding the Fourth Proportional to 581.60, 802.72 and 342.50

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Solution

The fourth proportional to 581.60, 802.72 and 342.50 is: 472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 802.72 = 342.50 : x
  2. Step 2: Convert to fraction form
    581.60/802.72 = 342.50/x
  3. Step 3: Cross multiply
    581.60x = 802.72 × 342.50
  4. Step 4: Simplify right side
    581.60x = 274,926.73
  5. Step 5: Solve for x
    x = 274,926.73/581.60
  6. Step 6: Final answer
    x = 472.71

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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.