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Finding the Fourth Proportional to 430.77, 646.18 and 366.22

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Solution

The fourth proportional to 430.77, 646.18 and 366.22 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 646.18 = 366.22 : x
  2. Step 2: Convert to fraction form
    430.77/646.18 = 366.22/x
  3. Step 3: Cross multiply
    430.77x = 646.18 × 366.22
  4. Step 4: Simplify right side
    430.77x = 236,643.93
  5. Step 5: Solve for x
    x = 236,643.93/430.77
  6. Step 6: Final answer
    x = 549.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.