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Finding the Fourth Proportional to 554.59, 830.46 and 538.16

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Solution

The fourth proportional to 554.59, 830.46 and 538.16 is: 805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.59 : 830.46 = 538.16 : x
  2. Step 2: Convert to fraction form
    554.59/830.46 = 538.16/x
  3. Step 3: Cross multiply
    554.59x = 830.46 × 538.16
  4. Step 4: Simplify right side
    554.59x = 446,920.86
  5. Step 5: Solve for x
    x = 446,920.86/554.59
  6. Step 6: Final answer
    x = 805.86

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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.