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Finding the Fourth Proportional to 705.51, 973.42 and 456.84

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Solution

The fourth proportional to 705.51, 973.42 and 456.84 is: 630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 973.42 = 456.84 : x
  2. Step 2: Convert to fraction form
    705.51/973.42 = 456.84/x
  3. Step 3: Cross multiply
    705.51x = 973.42 × 456.84
  4. Step 4: Simplify right side
    705.51x = 444,696.05
  5. Step 5: Solve for x
    x = 444,696.05/705.51
  6. Step 6: Final answer
    x = 630.32

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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.