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Finding the Fourth Proportional to 584.94, 877.34 and 152.09

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Solution

The fourth proportional to 584.94, 877.34 and 152.09 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 877.34 = 152.09 : x
  2. Step 2: Convert to fraction form
    584.94/877.34 = 152.09/x
  3. Step 3: Cross multiply
    584.94x = 877.34 × 152.09
  4. Step 4: Simplify right side
    584.94x = 133,430.63
  5. Step 5: Solve for x
    x = 133,430.63/584.94
  6. Step 6: Final answer
    x = 228.11

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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.