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Finding the Fourth Proportional to 705.39, 973.47 and 468.90

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Solution

The fourth proportional to 705.39, 973.47 and 468.90 is: 647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.39 : 973.47 = 468.90 : x
  2. Step 2: Convert to fraction form
    705.39/973.47 = 468.90/x
  3. Step 3: Cross multiply
    705.39x = 973.47 × 468.90
  4. Step 4: Simplify right side
    705.39x = 456,460.08
  5. Step 5: Solve for x
    x = 456,460.08/705.39
  6. Step 6: Final answer
    x = 647.10

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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.