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Finding the Fourth Proportional to 458.02, 632.10 and 302.50

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Solution

The fourth proportional to 458.02, 632.10 and 302.50 is: 417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 632.10 = 302.50 : x
  2. Step 2: Convert to fraction form
    458.02/632.10 = 302.50/x
  3. Step 3: Cross multiply
    458.02x = 632.10 × 302.50
  4. Step 4: Simplify right side
    458.02x = 191,210.25
  5. Step 5: Solve for x
    x = 191,210.25/458.02
  6. Step 6: Final answer
    x = 417.47

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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.