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Finding the Fourth Proportional to 581.93, 802.84 and 357.79

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Solution

The fourth proportional to 581.93, 802.84 and 357.79 is: 493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.93 : 802.84 = 357.79 : x
  2. Step 2: Convert to fraction form
    581.93/802.84 = 357.79/x
  3. Step 3: Cross multiply
    581.93x = 802.84 × 357.79
  4. Step 4: Simplify right side
    581.93x = 287,248.65
  5. Step 5: Solve for x
    x = 287,248.65/581.93
  6. Step 6: Final answer
    x = 493.61

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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.