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Finding the Fourth Proportional to 567.04, 845.72 and 538.24

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Solution

The fourth proportional to 567.04, 845.72 and 538.24 is: 802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.04 : 845.72 = 538.24 : x
  2. Step 2: Convert to fraction form
    567.04/845.72 = 538.24/x
  3. Step 3: Cross multiply
    567.04x = 845.72 × 538.24
  4. Step 4: Simplify right side
    567.04x = 455,200.33
  5. Step 5: Solve for x
    x = 455,200.33/567.04
  6. Step 6: Final answer
    x = 802.77

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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.