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Finding the Fourth Proportional to 342.24, 510.54 and 315

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Solution

The fourth proportional to 342.24, 510.54 and 315 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 510.54 = 315 : x
  2. Step 2: Convert to fraction form
    342.24/510.54 = 315/x
  3. Step 3: Cross multiply
    342.24x = 510.54 × 315
  4. Step 4: Simplify right side
    342.24x = 160,820.10
  5. Step 5: Solve for x
    x = 160,820.10/342.24
  6. Step 6: Final answer
    x = 469.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.