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Finding the Fourth Proportional to 705.02, 972.94 and 390.30

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Solution

The fourth proportional to 705.02, 972.94 and 390.30 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 972.94 = 390.30 : x
  2. Step 2: Convert to fraction form
    705.02/972.94 = 390.30/x
  3. Step 3: Cross multiply
    705.02x = 972.94 × 390.30
  4. Step 4: Simplify right side
    705.02x = 379,737.51
  5. Step 5: Solve for x
    x = 379,737.51/705.02
  6. Step 6: Final answer
    x = 538.62

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Why These Related Problems?

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