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Finding the Fourth Proportional to 705.16, 973.16 and 456.28

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Solution

The fourth proportional to 705.16, 973.16 and 456.28 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 973.16 = 456.28 : x
  2. Step 2: Convert to fraction form
    705.16/973.16 = 456.28/x
  3. Step 3: Cross multiply
    705.16x = 973.16 × 456.28
  4. Step 4: Simplify right side
    705.16x = 444,038.48
  5. Step 5: Solve for x
    x = 444,038.48/705.16
  6. Step 6: Final answer
    x = 629.70

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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.