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Finding the Fourth Proportional to 410.07, 566.10 and 270.28

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Solution

The fourth proportional to 410.07, 566.10 and 270.28 is: 373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 566.10 = 270.28 : x
  2. Step 2: Convert to fraction form
    410.07/566.10 = 270.28/x
  3. Step 3: Cross multiply
    410.07x = 566.10 × 270.28
  4. Step 4: Simplify right side
    410.07x = 153,005.51
  5. Step 5: Solve for x
    x = 153,005.51/410.07
  6. Step 6: Final answer
    x = 373.12

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Why These Related Problems?

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