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Finding the Fourth Proportional to 610.16, 841.92 and 348.08

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Solution

The fourth proportional to 610.16, 841.92 and 348.08 is: 480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 841.92 = 348.08 : x
  2. Step 2: Convert to fraction form
    610.16/841.92 = 348.08/x
  3. Step 3: Cross multiply
    610.16x = 841.92 × 348.08
  4. Step 4: Simplify right side
    610.16x = 293,055.51
  5. Step 5: Solve for x
    x = 293,055.51/610.16
  6. Step 6: Final answer
    x = 480.29

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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.