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Finding the Fourth Proportional to 581.24, 802.13 and 456.67

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Solution

The fourth proportional to 581.24, 802.13 and 456.67 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 802.13 = 456.67 : x
  2. Step 2: Convert to fraction form
    581.24/802.13 = 456.67/x
  3. Step 3: Cross multiply
    581.24x = 802.13 × 456.67
  4. Step 4: Simplify right side
    581.24x = 366,307.43
  5. Step 5: Solve for x
    x = 366,307.43/581.24
  6. Step 6: Final answer
    x = 630.21

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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.