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Finding the Fourth Proportional to 470.76, 706.80 and 373.32

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Solution

The fourth proportional to 470.76, 706.80 and 373.32 is: 560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 706.80 = 373.32 : x
  2. Step 2: Convert to fraction form
    470.76/706.80 = 373.32/x
  3. Step 3: Cross multiply
    470.76x = 706.80 × 373.32
  4. Step 4: Simplify right side
    470.76x = 263,862.58
  5. Step 5: Solve for x
    x = 263,862.58/470.76
  6. Step 6: Final answer
    x = 560.50

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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.