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Finding the Fourth Proportional to 504.70, 708.20 and 504.70

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Solution

The fourth proportional to 504.70, 708.20 and 504.70 is: 708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.70 : 708.20 = 504.70 : x
  2. Step 2: Convert to fraction form
    504.70/708.20 = 504.70/x
  3. Step 3: Cross multiply
    504.70x = 708.20 × 504.70
  4. Step 4: Simplify right side
    504.70x = 357,428.54
  5. Step 5: Solve for x
    x = 357,428.54/504.70
  6. Step 6: Final answer
    x = 708.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.