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Finding the Fourth Proportional to 705.08, 972.58 and 410.32

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Solution

The fourth proportional to 705.08, 972.58 and 410.32 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 972.58 = 410.32 : x
  2. Step 2: Convert to fraction form
    705.08/972.58 = 410.32/x
  3. Step 3: Cross multiply
    705.08x = 972.58 × 410.32
  4. Step 4: Simplify right side
    705.08x = 399,069.03
  5. Step 5: Solve for x
    x = 399,069.03/705.08
  6. Step 6: Final answer
    x = 565.99

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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.