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Finding the Fourth Proportional to 705.02, 972.75 and 410.21

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Solution

The fourth proportional to 705.02, 972.75 and 410.21 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 972.75 = 410.21 : x
  2. Step 2: Convert to fraction form
    705.02/972.75 = 410.21/x
  3. Step 3: Cross multiply
    705.02x = 972.75 × 410.21
  4. Step 4: Simplify right side
    705.02x = 399,031.78
  5. Step 5: Solve for x
    x = 399,031.78/705.02
  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.