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Finding the Fourth Proportional to 369.96, 554.98 and 302.06

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Solution

The fourth proportional to 369.96, 554.98 and 302.06 is: 453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 554.98 = 302.06 : x
  2. Step 2: Convert to fraction form
    369.96/554.98 = 302.06/x
  3. Step 3: Cross multiply
    369.96x = 554.98 × 302.06
  4. Step 4: Simplify right side
    369.96x = 167,637.26
  5. Step 5: Solve for x
    x = 167,637.26/369.96
  6. Step 6: Final answer
    x = 453.12

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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.