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Finding the Fourth Proportional to 705.16, 973.38 and 530.20

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Solution

The fourth proportional to 705.16, 973.38 and 530.20 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 973.38 = 530.20 : x
  2. Step 2: Convert to fraction form
    705.16/973.38 = 530.20/x
  3. Step 3: Cross multiply
    705.16x = 973.38 × 530.20
  4. Step 4: Simplify right side
    705.16x = 516,086.08
  5. Step 5: Solve for x
    x = 516,086.08/705.16
  6. Step 6: Final answer
    x = 731.87

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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.