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Finding the Fourth Proportional to 528.36, 728.95 and 307.23

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Solution

The fourth proportional to 528.36, 728.95 and 307.23 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.36 : 728.95 = 307.23 : x
  2. Step 2: Convert to fraction form
    528.36/728.95 = 307.23/x
  3. Step 3: Cross multiply
    528.36x = 728.95 × 307.23
  4. Step 4: Simplify right side
    528.36x = 223,955.31
  5. Step 5: Solve for x
    x = 223,955.31/528.36
  6. Step 6: Final answer
    x = 423.87

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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.