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Finding the Fourth Proportional to 535, 802.14 and 430.60

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Solution

The fourth proportional to 535, 802.14 and 430.60 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 802.14 = 430.60 : x
  2. Step 2: Convert to fraction form
    535/802.14 = 430.60/x
  3. Step 3: Cross multiply
    535x = 802.14 × 430.60
  4. Step 4: Simplify right side
    535x = 345,401.48
  5. Step 5: Solve for x
    x = 345,401.48/535
  6. Step 6: Final answer
    x = 645.61

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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.