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Finding the Fourth Proportional to 409.48, 614.10 and 117.01

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Solution

The fourth proportional to 409.48, 614.10 and 117.01 is: 175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.48 : 614.10 = 117.01 : x
  2. Step 2: Convert to fraction form
    409.48/614.10 = 117.01/x
  3. Step 3: Cross multiply
    409.48x = 614.10 × 117.01
  4. Step 4: Simplify right side
    409.48x = 71,852.19
  5. Step 5: Solve for x
    x = 71,852.19/409.48
  6. Step 6: Final answer
    x = 175.47

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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.