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Finding the Fourth Proportional to 572.86, 854.08 and 538

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Solution

The fourth proportional to 572.86, 854.08 and 538 is: 802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.86 : 854.08 = 538 : x
  2. Step 2: Convert to fraction form
    572.86/854.08 = 538/x
  3. Step 3: Cross multiply
    572.86x = 854.08 × 538
  4. Step 4: Simplify right side
    572.86x = 459,495.04
  5. Step 5: Solve for x
    x = 459,495.04/572.86
  6. Step 6: Final answer
    x = 802.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.