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Finding the Fourth Proportional to 554.16, 829.71 and 380.46

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Solution

The fourth proportional to 554.16, 829.71 and 380.46 is: 569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.16 : 829.71 = 380.46 : x
  2. Step 2: Convert to fraction form
    554.16/829.71 = 380.46/x
  3. Step 3: Cross multiply
    554.16x = 829.71 × 380.46
  4. Step 4: Simplify right side
    554.16x = 315,671.47
  5. Step 5: Solve for x
    x = 315,671.47/554.16
  6. Step 6: Final answer
    x = 569.64

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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.