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Finding the Fourth Proportional to 581.13, 802.25 and 360.27

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Solution

The fourth proportional to 581.13, 802.25 and 360.27 is: 497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 802.25 = 360.27 : x
  2. Step 2: Convert to fraction form
    581.13/802.25 = 360.27/x
  3. Step 3: Cross multiply
    581.13x = 802.25 × 360.27
  4. Step 4: Simplify right side
    581.13x = 289,024.81
  5. Step 5: Solve for x
    x = 289,024.81/581.13
  6. Step 6: Final answer
    x = 497.35

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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.