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Finding the Fourth Proportional to 554.16, 830.54 and 280.32

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Solution

The fourth proportional to 554.16, 830.54 and 280.32 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.16 : 830.54 = 280.32 : x
  2. Step 2: Convert to fraction form
    554.16/830.54 = 280.32/x
  3. Step 3: Cross multiply
    554.16x = 830.54 × 280.32
  4. Step 4: Simplify right side
    554.16x = 232,816.97
  5. Step 5: Solve for x
    x = 232,816.97/554.16
  6. Step 6: Final answer
    x = 420.13

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Why These Related Problems?

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