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Finding the Fourth Proportional to 522.04, 718.86 and 448.24

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Solution

The fourth proportional to 522.04, 718.86 and 448.24 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.04 : 718.86 = 448.24 : x
  2. Step 2: Convert to fraction form
    522.04/718.86 = 448.24/x
  3. Step 3: Cross multiply
    522.04x = 718.86 × 448.24
  4. Step 4: Simplify right side
    522.04x = 322,221.81
  5. Step 5: Solve for x
    x = 322,221.81/522.04
  6. Step 6: Final answer
    x = 617.24

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