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Finding the Fourth Proportional to 705.35, 973.70 and 469.72

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Solution

The fourth proportional to 705.35, 973.70 and 469.72 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.35 : 973.70 = 469.72 : x
  2. Step 2: Convert to fraction form
    705.35/973.70 = 469.72/x
  3. Step 3: Cross multiply
    705.35x = 973.70 × 469.72
  4. Step 4: Simplify right side
    705.35x = 457,366.36
  5. Step 5: Solve for x
    x = 457,366.36/705.35
  6. Step 6: Final answer
    x = 648.42

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1.5x scale

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.