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Finding the Fourth Proportional to 710.86, 981.15 and 431.32

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Solution

The fourth proportional to 710.86, 981.15 and 431.32 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 981.15 = 431.32 : x
  2. Step 2: Convert to fraction form
    710.86/981.15 = 431.32/x
  3. Step 3: Cross multiply
    710.86x = 981.15 × 431.32
  4. Step 4: Simplify right side
    710.86x = 423,189.62
  5. Step 5: Solve for x
    x = 423,189.62/710.86
  6. Step 6: Final answer
    x = 595.32

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Double scale
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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.