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Finding the Fourth Proportional to 581.85, 802.85 and 357.93

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Solution

The fourth proportional to 581.85, 802.85 and 357.93 is: 493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 802.85 = 357.93 : x
  2. Step 2: Convert to fraction form
    581.85/802.85 = 357.93/x
  3. Step 3: Cross multiply
    581.85x = 802.85 × 357.93
  4. Step 4: Simplify right side
    581.85x = 287,362.31
  5. Step 5: Solve for x
    x = 287,362.31/581.85
  6. Step 6: Final answer
    x = 493.88

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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.