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Finding the Fourth Proportional to 581.63, 802.17 and 360.63

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Solution

The fourth proportional to 581.63, 802.17 and 360.63 is: 497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 802.17 = 360.63 : x
  2. Step 2: Convert to fraction form
    581.63/802.17 = 360.63/x
  3. Step 3: Cross multiply
    581.63x = 802.17 × 360.63
  4. Step 4: Simplify right side
    581.63x = 289,286.57
  5. Step 5: Solve for x
    x = 289,286.57/581.63
  6. Step 6: Final answer
    x = 497.38

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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.