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Finding the Fourth Proportional to 1,477.64, 2,216.41 and 382.01

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Solution

The fourth proportional to 1,477.64, 2,216.41 and 382.01 is: 572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.64 : 2,216.41 = 382.01 : x
  2. Step 2: Convert to fraction form
    1,477.64/2,216.41 = 382.01/x
  3. Step 3: Cross multiply
    1,477.64x = 2,216.41 × 382.01
  4. Step 4: Simplify right side
    1,477.64x = 846,678.75
  5. Step 5: Solve for x
    x = 846,678.75/1,477.64
  6. Step 6: Final answer
    x = 572.99

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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.