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Finding the Fourth Proportional to 705.64, 973.38 and 457

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Solution

The fourth proportional to 705.64, 973.38 and 457 is: 630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.64 : 973.38 = 457 : x
  2. Step 2: Convert to fraction form
    705.64/973.38 = 457/x
  3. Step 3: Cross multiply
    705.64x = 973.38 × 457
  4. Step 4: Simplify right side
    705.64x = 444,834.66
  5. Step 5: Solve for x
    x = 444,834.66/705.64
  6. Step 6: Final answer
    x = 630.40

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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.