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Finding the Fourth Proportional to 581.83, 873.38 and 307.85

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Solution

The fourth proportional to 581.83, 873.38 and 307.85 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.83 : 873.38 = 307.85 : x
  2. Step 2: Convert to fraction form
    581.83/873.38 = 307.85/x
  3. Step 3: Cross multiply
    581.83x = 873.38 × 307.85
  4. Step 4: Simplify right side
    581.83x = 268,866.44
  5. Step 5: Solve for x
    x = 268,866.44/581.83
  6. Step 6: Final answer
    x = 462.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.