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Finding the Fourth Proportional to 705.40, 973.52 and 457.44

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Solution

The fourth proportional to 705.40, 973.52 and 457.44 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 973.52 = 457.44 : x
  2. Step 2: Convert to fraction form
    705.40/973.52 = 457.44/x
  3. Step 3: Cross multiply
    705.40x = 973.52 × 457.44
  4. Step 4: Simplify right side
    705.40x = 445,326.99
  5. Step 5: Solve for x
    x = 445,326.99/705.40
  6. Step 6: Final answer
    x = 631.31

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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.