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Finding the Fourth Proportional to 705, 972.98 and 390.30

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Solution

The fourth proportional to 705, 972.98 and 390.30 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 972.98 = 390.30 : x
  2. Step 2: Convert to fraction form
    705/972.98 = 390.30/x
  3. Step 3: Cross multiply
    705x = 972.98 × 390.30
  4. Step 4: Simplify right side
    705x = 379,754.09
  5. Step 5: Solve for x
    x = 379,754.09/705
  6. Step 6: Final answer
    x = 538.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.