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Finding the Fourth Proportional to 581.64, 802.86 and 407.49

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Solution

The fourth proportional to 581.64, 802.86 and 407.49 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.64 : 802.86 = 407.49 : x
  2. Step 2: Convert to fraction form
    581.64/802.86 = 407.49/x
  3. Step 3: Cross multiply
    581.64x = 802.86 × 407.49
  4. Step 4: Simplify right side
    581.64x = 327,157.42
  5. Step 5: Solve for x
    x = 327,157.42/581.64
  6. Step 6: Final answer
    x = 562.47

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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.