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Finding the Fourth Proportional to 581.04, 802.10 and 360.11

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Solution

The fourth proportional to 581.04, 802.10 and 360.11 is: 497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 802.10 = 360.11 : x
  2. Step 2: Convert to fraction form
    581.04/802.10 = 360.11/x
  3. Step 3: Cross multiply
    581.04x = 802.10 × 360.11
  4. Step 4: Simplify right side
    581.04x = 288,838.42
  5. Step 5: Solve for x
    x = 288,838.42/581.04
  6. Step 6: Final answer
    x = 497.11

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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.