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Finding the Fourth Proportional to 1,473.58, 2,210.34 and 377.98

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Solution

The fourth proportional to 1,473.58, 2,210.34 and 377.98 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.58 : 2,210.34 = 377.98 : x
  2. Step 2: Convert to fraction form
    1,473.58/2,210.34 = 377.98/x
  3. Step 3: Cross multiply
    1,473.58x = 2,210.34 × 377.98
  4. Step 4: Simplify right side
    1,473.58x = 835,464.31
  5. Step 5: Solve for x
    x = 835,464.31/1,473.58
  6. Step 6: Final answer
    x = 566.96

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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.