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Finding the Fourth Proportional to 697.50, 962.82 and 465.30

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Solution

The fourth proportional to 697.50, 962.82 and 465.30 is: 642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 962.82 = 465.30 : x
  2. Step 2: Convert to fraction form
    697.50/962.82 = 465.30/x
  3. Step 3: Cross multiply
    697.50x = 962.82 × 465.30
  4. Step 4: Simplify right side
    697.50x = 448,000.15
  5. Step 5: Solve for x
    x = 448,000.15/697.50
  6. Step 6: Final answer
    x = 642.29

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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.