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Finding the Fourth Proportional to 586.55, 807.71 and 524.36

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Solution

The fourth proportional to 586.55, 807.71 and 524.36 is: 722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.55 : 807.71 = 524.36 : x
  2. Step 2: Convert to fraction form
    586.55/807.71 = 524.36/x
  3. Step 3: Cross multiply
    586.55x = 807.71 × 524.36
  4. Step 4: Simplify right side
    586.55x = 423,524.16
  5. Step 5: Solve for x
    x = 423,524.16/586.55
  6. Step 6: Final answer
    x = 722.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.