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Finding the Fourth Proportional to 581.76, 802.85 and 360.72

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Solution

The fourth proportional to 581.76, 802.85 and 360.72 is: 497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 802.85 = 360.72 : x
  2. Step 2: Convert to fraction form
    581.76/802.85 = 360.72/x
  3. Step 3: Cross multiply
    581.76x = 802.85 × 360.72
  4. Step 4: Simplify right side
    581.76x = 289,602.25
  5. Step 5: Solve for x
    x = 289,602.25/581.76
  6. Step 6: Final answer
    x = 497.80

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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.