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Finding the Fourth Proportional to 446.50, 615.50 and 384.00

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Solution

The fourth proportional to 446.50, 615.50 and 384.00 is: 529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 615.50 = 384.00 : x
  2. Step 2: Convert to fraction form
    446.50/615.50 = 384.00/x
  3. Step 3: Cross multiply
    446.50x = 615.50 × 384.00
  4. Step 4: Simplify right side
    446.50x = 236,347.00
  5. Step 5: Solve for x
    x = 236,347.00/446.50
  6. Step 6: Final answer
    x = 529.33

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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.