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Finding the Fourth Proportional to 511.93, 706.08 and 315.10

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Solution

The fourth proportional to 511.93, 706.08 and 315.10 is: 434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 706.08 = 315.10 : x
  2. Step 2: Convert to fraction form
    511.93/706.08 = 315.10/x
  3. Step 3: Cross multiply
    511.93x = 706.08 × 315.10
  4. Step 4: Simplify right side
    511.93x = 222,485.81
  5. Step 5: Solve for x
    x = 222,485.81/511.93
  6. Step 6: Final answer
    x = 434.60

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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.