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Finding the Fourth Proportional to 470.80, 705.12 and 340.96

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Solution

The fourth proportional to 470.80, 705.12 and 340.96 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 705.12 = 340.96 : x
  2. Step 2: Convert to fraction form
    470.80/705.12 = 340.96/x
  3. Step 3: Cross multiply
    470.80x = 705.12 × 340.96
  4. Step 4: Simplify right side
    470.80x = 240,417.72
  5. Step 5: Solve for x
    x = 240,417.72/470.80
  6. Step 6: Final answer
    x = 510.66

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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.