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Finding the Fourth Proportional to 648.95, 973.42 and 302.09

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Solution

The fourth proportional to 648.95, 973.42 and 302.09 is: 453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.95 : 973.42 = 302.09 : x
  2. Step 2: Convert to fraction form
    648.95/973.42 = 302.09/x
  3. Step 3: Cross multiply
    648.95x = 973.42 × 302.09
  4. Step 4: Simplify right side
    648.95x = 294,060.45
  5. Step 5: Solve for x
    x = 294,060.45/648.95
  6. Step 6: Final answer
    x = 453.13

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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.