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Finding the Fourth Proportional to 505.04, 697.12 and 417.60

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Solution

The fourth proportional to 505.04, 697.12 and 417.60 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.04 : 697.12 = 417.60 : x
  2. Step 2: Convert to fraction form
    505.04/697.12 = 417.60/x
  3. Step 3: Cross multiply
    505.04x = 697.12 × 417.60
  4. Step 4: Simplify right side
    505.04x = 291,117.31
  5. Step 5: Solve for x
    x = 291,117.31/505.04
  6. Step 6: Final answer
    x = 576.42

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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.