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Finding the Fourth Proportional to 571.65, 788.47 and 403.93

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Solution

The fourth proportional to 571.65, 788.47 and 403.93 is: 557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.65 : 788.47 = 403.93 : x
  2. Step 2: Convert to fraction form
    571.65/788.47 = 403.93/x
  3. Step 3: Cross multiply
    571.65x = 788.47 × 403.93
  4. Step 4: Simplify right side
    571.65x = 318,486.69
  5. Step 5: Solve for x
    x = 318,486.69/571.65
  6. Step 6: Final answer
    x = 557.14

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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.