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Finding the Fourth Proportional to 364.52, 503.04 and 215.24

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Solution

The fourth proportional to 364.52, 503.04 and 215.24 is: 297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.52 : 503.04 = 215.24 : x
  2. Step 2: Convert to fraction form
    364.52/503.04 = 215.24/x
  3. Step 3: Cross multiply
    364.52x = 503.04 × 215.24
  4. Step 4: Simplify right side
    364.52x = 108,271.81
  5. Step 5: Solve for x
    x = 108,271.81/364.52
  6. Step 6: Final answer
    x = 297.03

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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.