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Finding the Fourth Proportional to 590.52, 882.75 and 467.40

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Solution

The fourth proportional to 590.52, 882.75 and 467.40 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 882.75 = 467.40 : x
  2. Step 2: Convert to fraction form
    590.52/882.75 = 467.40/x
  3. Step 3: Cross multiply
    590.52x = 882.75 × 467.40
  4. Step 4: Simplify right side
    590.52x = 412,597.35
  5. Step 5: Solve for x
    x = 412,597.35/590.52
  6. Step 6: Final answer
    x = 698.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.