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Finding the Fourth Proportional to 957.23, 1,435.97 and 470.30

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Solution

The fourth proportional to 957.23, 1,435.97 and 470.30 is: 705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.23 : 1,435.97 = 470.30 : x
  2. Step 2: Convert to fraction form
    957.23/1,435.97 = 470.30/x
  3. Step 3: Cross multiply
    957.23x = 1,435.97 × 470.30
  4. Step 4: Simplify right side
    957.23x = 675,341.46
  5. Step 5: Solve for x
    x = 675,341.46/957.23
  6. Step 6: Final answer
    x = 705.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.