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Finding the Fourth Proportional to 705.20, 972.47 and 468.74

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Solution

The fourth proportional to 705.20, 972.47 and 468.74 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 972.47 = 468.74 : x
  2. Step 2: Convert to fraction form
    705.20/972.47 = 468.74/x
  3. Step 3: Cross multiply
    705.20x = 972.47 × 468.74
  4. Step 4: Simplify right side
    705.20x = 455,839.19
  5. Step 5: Solve for x
    x = 455,839.19/705.20
  6. Step 6: Final answer
    x = 646.40

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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.