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Finding the Fourth Proportional to 536.36, 802.96 and 458.84

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Solution

The fourth proportional to 536.36, 802.96 and 458.84 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.36 : 802.96 = 458.84 : x
  2. Step 2: Convert to fraction form
    536.36/802.96 = 458.84/x
  3. Step 3: Cross multiply
    536.36x = 802.96 × 458.84
  4. Step 4: Simplify right side
    536.36x = 368,430.17
  5. Step 5: Solve for x
    x = 368,430.17/536.36
  6. Step 6: Final answer
    x = 686.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.