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Finding the Fourth Proportional to 581.83, 802.98 and 360.81

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Solution

The fourth proportional to 581.83, 802.98 and 360.81 is: 497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.83 : 802.98 = 360.81 : x
  2. Step 2: Convert to fraction form
    581.83/802.98 = 360.81/x
  3. Step 3: Cross multiply
    581.83x = 802.98 × 360.81
  4. Step 4: Simplify right side
    581.83x = 289,723.21
  5. Step 5: Solve for x
    x = 289,723.21/581.83
  6. Step 6: Final answer
    x = 497.95

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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.