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Finding the Fourth Proportional to 705.51, 973.61 and 395.01

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Solution

The fourth proportional to 705.51, 973.61 and 395.01 is: 545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 973.61 = 395.01 : x
  2. Step 2: Convert to fraction form
    705.51/973.61 = 395.01/x
  3. Step 3: Cross multiply
    705.51x = 973.61 × 395.01
  4. Step 4: Simplify right side
    705.51x = 384,583.71
  5. Step 5: Solve for x
    x = 384,583.71/705.51
  6. Step 6: Final answer
    x = 545.11

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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.