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Finding the Fourth Proportional to 584.46, 877.17 and 307.01

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Solution

The fourth proportional to 584.46, 877.17 and 307.01 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 877.17 = 307.01 : x
  2. Step 2: Convert to fraction form
    584.46/877.17 = 307.01/x
  3. Step 3: Cross multiply
    584.46x = 877.17 × 307.01
  4. Step 4: Simplify right side
    584.46x = 269,295.58
  5. Step 5: Solve for x
    x = 269,295.58/584.46
  6. Step 6: Final answer
    x = 460.76

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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.