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Finding the Fourth Proportional to 554.78, 765.06 and 358.40

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Solution

The fourth proportional to 554.78, 765.06 and 358.40 is: 494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.78 : 765.06 = 358.40 : x
  2. Step 2: Convert to fraction form
    554.78/765.06 = 358.40/x
  3. Step 3: Cross multiply
    554.78x = 765.06 × 358.40
  4. Step 4: Simplify right side
    554.78x = 274,197.50
  5. Step 5: Solve for x
    x = 274,197.50/554.78
  6. Step 6: Final answer
    x = 494.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.