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Finding the Fourth Proportional to 647.21, 971.32 and 459.58

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Solution

The fourth proportional to 647.21, 971.32 and 459.58 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.21 : 971.32 = 459.58 : x
  2. Step 2: Convert to fraction form
    647.21/971.32 = 459.58/x
  3. Step 3: Cross multiply
    647.21x = 971.32 × 459.58
  4. Step 4: Simplify right side
    647.21x = 446,395.67
  5. Step 5: Solve for x
    x = 446,395.67/647.21
  6. Step 6: Final answer
    x = 689.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.