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Finding the Fourth Proportional to 586.08, 809.10 and 462.14

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Solution

The fourth proportional to 586.08, 809.10 and 462.14 is: 638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 809.10 = 462.14 : x
  2. Step 2: Convert to fraction form
    586.08/809.10 = 462.14/x
  3. Step 3: Cross multiply
    586.08x = 809.10 × 462.14
  4. Step 4: Simplify right side
    586.08x = 373,917.47
  5. Step 5: Solve for x
    x = 373,917.47/586.08
  6. Step 6: Final answer
    x = 638.00

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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.