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Finding the Fourth Proportional to 586.67, 809.55 and 462.60

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Solution

The fourth proportional to 586.67, 809.55 and 462.60 is: 638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.67 : 809.55 = 462.60 : x
  2. Step 2: Convert to fraction form
    586.67/809.55 = 462.60/x
  3. Step 3: Cross multiply
    586.67x = 809.55 × 462.60
  4. Step 4: Simplify right side
    586.67x = 374,497.83
  5. Step 5: Solve for x
    x = 374,497.83/586.67
  6. Step 6: Final answer
    x = 638.35

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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.