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Finding the Fourth Proportional to 707.31, 975.65 and 471.20

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Solution

The fourth proportional to 707.31, 975.65 and 471.20 is: 649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.31 : 975.65 = 471.20 : x
  2. Step 2: Convert to fraction form
    707.31/975.65 = 471.20/x
  3. Step 3: Cross multiply
    707.31x = 975.65 × 471.20
  4. Step 4: Simplify right side
    707.31x = 459,719.05
  5. Step 5: Solve for x
    x = 459,719.05/707.31
  6. Step 6: Final answer
    x = 649.95

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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.