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Finding the Fourth Proportional to 557.04, 767.64 and 401.52

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Solution

The fourth proportional to 557.04, 767.64 and 401.52 is: 553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.04 : 767.64 = 401.52 : x
  2. Step 2: Convert to fraction form
    557.04/767.64 = 401.52/x
  3. Step 3: Cross multiply
    557.04x = 767.64 × 401.52
  4. Step 4: Simplify right side
    557.04x = 308,222.81
  5. Step 5: Solve for x
    x = 308,222.81/557.04
  6. Step 6: Final answer
    x = 553.32

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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.