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Finding the Fourth Proportional to 709.10, 978.54 and 410.40

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Solution

The fourth proportional to 709.10, 978.54 and 410.40 is: 566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.10 : 978.54 = 410.40 : x
  2. Step 2: Convert to fraction form
    709.10/978.54 = 410.40/x
  3. Step 3: Cross multiply
    709.10x = 978.54 × 410.40
  4. Step 4: Simplify right side
    709.10x = 401,592.82
  5. Step 5: Solve for x
    x = 401,592.82/709.10
  6. Step 6: Final answer
    x = 566.34

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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.