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Finding the Fourth Proportional to 556.07, 767.48 and 417.15

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Solution

The fourth proportional to 556.07, 767.48 and 417.15 is: 575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.07 : 767.48 = 417.15 : x
  2. Step 2: Convert to fraction form
    556.07/767.48 = 417.15/x
  3. Step 3: Cross multiply
    556.07x = 767.48 × 417.15
  4. Step 4: Simplify right side
    556.07x = 320,152.20
  5. Step 5: Solve for x
    x = 320,152.20/556.07
  6. Step 6: Final answer
    x = 575.75

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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.