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Finding the Fourth Proportional to 577.86, 798.19 and 467.75

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Solution

The fourth proportional to 577.86, 798.19 and 467.75 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.86 : 798.19 = 467.75 : x
  2. Step 2: Convert to fraction form
    577.86/798.19 = 467.75/x
  3. Step 3: Cross multiply
    577.86x = 798.19 × 467.75
  4. Step 4: Simplify right side
    577.86x = 373,349.38
  5. Step 5: Solve for x
    x = 373,349.38/577.86
  6. Step 6: Final answer
    x = 646.10

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1.5x scale

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.