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Finding the Fourth Proportional to 554.94, 830.87 and 360.16

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Solution

The fourth proportional to 554.94, 830.87 and 360.16 is: 539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.94 : 830.87 = 360.16 : x
  2. Step 2: Convert to fraction form
    554.94/830.87 = 360.16/x
  3. Step 3: Cross multiply
    554.94x = 830.87 × 360.16
  4. Step 4: Simplify right side
    554.94x = 299,246.14
  5. Step 5: Solve for x
    x = 299,246.14/554.94
  6. Step 6: Final answer
    x = 539.24

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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.