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Finding the Fourth Proportional to 705.04, 972.82 and 410.20

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Solution

The fourth proportional to 705.04, 972.82 and 410.20 is: 566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.04 : 972.82 = 410.20 : x
  2. Step 2: Convert to fraction form
    705.04/972.82 = 410.20/x
  3. Step 3: Cross multiply
    705.04x = 972.82 × 410.20
  4. Step 4: Simplify right side
    705.04x = 399,050.76
  5. Step 5: Solve for x
    x = 399,050.76/705.04
  6. Step 6: Final answer
    x = 566.00

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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.