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Finding the Fourth Proportional to 511.76, 705.69 and 442.01

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Solution

The fourth proportional to 511.76, 705.69 and 442.01 is: 609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.76 : 705.69 = 442.01 : x
  2. Step 2: Convert to fraction form
    511.76/705.69 = 442.01/x
  3. Step 3: Cross multiply
    511.76x = 705.69 × 442.01
  4. Step 4: Simplify right side
    511.76x = 311,918.51
  5. Step 5: Solve for x
    x = 311,918.51/511.76
  6. Step 6: Final answer
    x = 609.51

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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.