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Finding the Fourth Proportional to 552.51, 830.88 and 470.49

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Solution

The fourth proportional to 552.51, 830.88 and 470.49 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 830.88 = 470.49 : x
  2. Step 2: Convert to fraction form
    552.51/830.88 = 470.49/x
  3. Step 3: Cross multiply
    552.51x = 830.88 × 470.49
  4. Step 4: Simplify right side
    552.51x = 390,920.73
  5. Step 5: Solve for x
    x = 390,920.73/552.51
  6. Step 6: Final answer
    x = 707.54

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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.