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Finding the Fourth Proportional to 469.50, 702.63 and 453.30

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Solution

The fourth proportional to 469.50, 702.63 and 453.30 is: 678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 702.63 = 453.30 : x
  2. Step 2: Convert to fraction form
    469.50/702.63 = 453.30/x
  3. Step 3: Cross multiply
    469.50x = 702.63 × 453.30
  4. Step 4: Simplify right side
    469.50x = 318,502.18
  5. Step 5: Solve for x
    x = 318,502.18/469.50
  6. Step 6: Final answer
    x = 678.39

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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.