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Finding the Fourth Proportional to 705.17, 972.95 and 410.40

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Solution

The fourth proportional to 705.17, 972.95 and 410.40 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.17 : 972.95 = 410.40 : x
  2. Step 2: Convert to fraction form
    705.17/972.95 = 410.40/x
  3. Step 3: Cross multiply
    705.17x = 972.95 × 410.40
  4. Step 4: Simplify right side
    705.17x = 399,296.63
  5. Step 5: Solve for x
    x = 399,296.63/705.17
  6. Step 6: Final answer
    x = 566.24

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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.