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Finding the Fourth Proportional to 470.16, 702.60 and 421.98

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Solution

The fourth proportional to 470.16, 702.60 and 421.98 is: 630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 702.60 = 421.98 : x
  2. Step 2: Convert to fraction form
    470.16/702.60 = 421.98/x
  3. Step 3: Cross multiply
    470.16x = 702.60 × 421.98
  4. Step 4: Simplify right side
    470.16x = 296,483.15
  5. Step 5: Solve for x
    x = 296,483.15/470.16
  6. Step 6: Final answer
    x = 630.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.