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Finding the Fourth Proportional to 619.07, 854.35 and 357.10

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Solution

The fourth proportional to 619.07, 854.35 and 357.10 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.07 : 854.35 = 357.10 : x
  2. Step 2: Convert to fraction form
    619.07/854.35 = 357.10/x
  3. Step 3: Cross multiply
    619.07x = 854.35 × 357.10
  4. Step 4: Simplify right side
    619.07x = 305,085.36
  5. Step 5: Solve for x
    x = 305,085.36/619.07
  6. Step 6: Final answer
    x = 492.82

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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.